Relevant bibliographies by topics / Integral Operator

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Integral Operator'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Integral Operator"

1

Momenzadeh, M., and N. I. Mahmudov. "Study of new class of q-fractional integral operator." Filomat 33, no. 17 (2019): 5713–21. http://dx.doi.org/10.2298/fil1917713m.

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In this paper, we study on the new class of q-fractional integral operator. In the aid of iterated Cauchy integral approach to fractional integral operator, we applied tp f(t) in these integrals and a new class of q-fractional integral operator with parameter p, is introduced. Recently, the q-analogue of fractional differential integral operator is studied and all of the operators defined in these studies are q-analogue of Riemann fractional differential operator. We show that our new class of operator generalize all the operators in use, and additionally, it can cover the q-analogue of Hadama
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Ayryan, E. A., M. Hnatic, and V. B. Malyutin. "On the equivalence of operator and combinatorial approaches for onestep random Markov processes." Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series 58, no. 1 (2022): 21–33. http://dx.doi.org/10.29235/1561-2430-2022-58-1-21-33.

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Herein, for one-step random Markov processes the comparison of the operator and combinatorial methods based on the use of functional integrals is performed. With the combinatorial approach, the transition from the stochastic differential equation to the functional integral is used. This allows us to obtain the expression for the mean population size in terms of the functional integral. With the operator approach, the transition to the functional integral is performed via the creation and annihilation operators. It is shown that the mean values calculated using the functional integrals arising
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Luo, Min-Jie, and Ravinder Krishna Raina. "On the Composition Structures of Certain Fractional Integral Operators." Symmetry 14, no. 9 (2022): 1845. http://dx.doi.org/10.3390/sym14091845.

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This paper investigates the composition structures of certain fractional integral operators whose kernels are certain types of generalized hypergeometric functions. It is shown how composition formulas of these operators can be closely related to the various Erdélyi-type hypergeometric integrals. We also derive a derivative formula for the fractional integral operator and some applications of the operator are considered for a certain Volterra-type integral equation, which provide two generalizations to Khudozhnikov’s integral equation (see below). Some specific relationships, examples, and som
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Zhang, Zhiqiang, Ghulam Farid, Sajid Mehmood, Kamsing Nonlaopon, and Tao Yan. "Generalized k-Fractional Integral Operators Associated with Pólya-Szegö and Chebyshev Types Inequalities." Fractal and Fractional 6, no. 2 (2022): 90. http://dx.doi.org/10.3390/fractalfract6020090.

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Inequalities related to derivatives and integrals are generalized and extended via fractional order integral and derivative operators. The present paper aims to define an operator containing Mittag-Leffler function in its kernel that leads to deduce many already existing well-known operators. By using this generalized operator, some well-known inequalities are studied. The results of this paper reproduce Chebyshev and Pólya-Szegö type inequalities for Riemann-Liouville and many other fractional integral operators.
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Lupaş, Alina Alb, and Loriana Andrei. "Certain Integral Operators of Analytic Functions." Mathematics 9, no. 20 (2021): 2586. http://dx.doi.org/10.3390/math9202586.

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In this paper, two new integral operators are defined using the operator DRλm,n, introduced and studied in previously published papers, defined by the convolution product of the generalized Sălăgean operator and Ruscheweyh operator. The newly defined operators are used for introducing several new classes of functions, and properties of the integral operators on these classes are investigated. Subordination results for the differential operator DRλm,n are also obtained.
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Harjule, Priyanka, Manish Bansal, and Serkan Araci. "An investigation of incomplete H−functions associated with some fractional integral operators." Filomat 36, no. 8 (2022): 2695–703. http://dx.doi.org/10.2298/fil2208695h.

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Arbitrary-order integral operators find variety of implementations in different science disciplines as well as engineering fields. The study presented as part of this research paper derives motivation from the fact that applications of fractional operators and special functions demonstrate a huge potential in understanding many of physical phenomena. Study and investigation of a fractional integral operator containing an incomplete H? functions (IHFs) as the kernel is the primary objective of the research work presented here. Specifically, few interesting relations involving the new fractional
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Paul, Supriya Kumar, Lakshmi Narayan Mishra, and Vishnu Narayan Mishra. "Results on integral inequalities for a generalized fractional integral operator unifying two existing fractional integral operators." Nonlinear Analysis: Modelling and Control 29, no. 6 (2024): 1080–105. https://doi.org/10.15388/namc.2024.29.37848.

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The main aim of this article is to design a novel framework to study a generalized fractional integral operator that unifies two existing fractional integral operators. To ensure the suitable selection of the operator and with the discussion of special cases, it is shown that our considered fractional integral generalizes the well-known Atangana–Baleanu fractional integral (AB-fractional integral) and the ABK-fractional integral. Conditions are stated for the generalized AB-fractional integral operator (GAB-fractional integral operator) to be bounded in the space Xcp (γ1,γ2). We also provide a
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Lanzhe, Liu. "Continuity for some multilinear operators of integral operators on Triebel-Lizorkin spaces." International Journal of Mathematics and Mathematical Sciences 2004, no. 38 (2004): 2039–47. http://dx.doi.org/10.1155/s0161171204303121.

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The continuityfor some multilinear operators related to certain fractional singular integral operators on Triebel-Lizorkin spaces is obtained. The operators include Calderon-Zygmund singular integral operator and fractional integral operator.
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Liu, Lanzhe. "Estimates of multilinear singular integral operators and mean oscillation." Publications de l'Institut Math?matique (Belgrade) 95, no. 109 (2014): 201–14. http://dx.doi.org/10.2298/pim1409201l.

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We prove the boundedness properties for some multilinear operators related to certain integral operators from Lebesgue spaces to Orlicz spaces. The operators include Calder?n-Zygmund singular integral operator, Littlewood-Paley operator and Marcinkiewicz operator.
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Rahman, Gauhar, Zafar Ullah, Aftab Khan, Erhan Set, and Kottakkaran Sooppy Nisar. "Certain Chebyshev-Type Inequalities Involving Fractional Conformable Integral Operators." Mathematics 7, no. 4 (2019): 364. http://dx.doi.org/10.3390/math7040364.

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Since an interesting functional by P.L. Chebyshev was presented in the year 1882, many results, which are called Chebyshev-type inequalities, have been established. Some of these inequalities were obtained by using fractional integral operators. Very recently, a new variant of the fractional conformable integral operator was introduced by Jarad et al. Motivated by this operator, we aim at establishing novel inequalities for a class of differentiable functions, which are associated with Chebyshev’s functional, by employing a fractional conformable integral operator. We also aim at showing impor
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Dissertations / Theses on the topic "Integral Operator"

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Huettenmueller, Rhonda. "The Pettis Integral and Operator Theory." Thesis, University of North Texas, 2001. https://digital.library.unt.edu/ark:/67531/metadc2844/.

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Let (Ω, Σ, µ) be a finite measure space and X, a Banach space with continuous dual X*. A scalarly measurable function f: Ω→X is Dunford integrable if for each x* X*, x*f L1(µ). Define the operator Tf. X* → L1(µ) by T(x*) = x*f. Then f is Pettis integrable if and only if this operator is weak*-to-weak continuous. This paper begins with an overview of this function. Work by Robert Huff and Gunnar Stefansson on the operator Tf motivates much of this paper. Conditions that make Tf weak*-to-weak continuous are generalized to weak*-to­weak continuous operators on dual spaces. For instance, if Tf i
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Moussai, Madani. "Continuite de certains operateurs integraux singuliers sur les espaces de besov." Paris 7, 1987. http://www.theses.fr/1987PA077016.

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On s'interesse a des conditions necessaires et suffisantes de continuite-l**(2) (resp. Continuite - besov b**(s)::(p,q)), des commutateurs entre les operateurs pseudo-differentiels o. P. D. De type s**(11,a); a1 (resp. S**(11,0)), et les fonctions dont les gradients sont bornes (resp. Des multiplicateurs de besov m(b**(s)::(p,q))). La continuite - besov du commutateur a l'aide du critere de lemarie, mene a etudier la continuite des o. P. D. De type s**(01,0) sur m(b**(sp,q)): les o. P. D. D'ordre 0 sont bornes sur les versions "localisees l**(e") de b**(s)::(p,q), par consequent sur m(b**(s)::
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Beil, Joel S. "Geometric Properties of Orbits of Integral Operators." Kent State University / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=kent1270503593.

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Bosch, Camós Anna. "Controlant la integral singular maximal." Doctoral thesis, Universitat Autònoma de Barcelona, 2015. http://hdl.handle.net/10803/314177.

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Els principals objectes d'estudi d'aquesta memòria són les integrals singulars. Per l'elaboració d'aquesta memòria, trobem una especial motivació en tres articles originats a partir de la idea d'acotar la norma de l'operador maximal d'una integral singular per la norma de la integral singular. En el primer article, de J. Mateu i J. Verdera del 2006, [MV], s'hi proven desigualtats puntuals pels casos particulars de la j-èssima transformada de Riesz i de la transformada de Beurling. Es fa notar per primer cop que les acotacions són diferents degut a la paritat del nucli de les respectives tran
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Li, Xiaochun. "Uniform bounds for the bilinear Hilbert transforms /." free to MU campus, to others for purchase, 2001. http://wwwlib.umi.com/cr/mo/fullcit?p3025634.

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Chunaev, Petr. "Singular integral operators and rectifiability." Doctoral thesis, Universitat Autònoma de Barcelona, 2018. http://hdl.handle.net/10803/663827.

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Los problemas que estudiamos en esta tesis se encuentran en el área de Análisis Armónico y Teoría de la Medida Geométrica. En particular, consideramos la conexión entre las propiedades analíticas de operadores integrales singulares definidos en $L^2(\mu)$ y asociados con algunos núcleos de Calderón-Zygmund y las propiedades geométricas de la medida $\mu$. Seamos más precisos. Sea $E$ un conjunto de Borel en el plano complejo con la medida lineal de Hausdorff $H^1$ finita y distinta de cero, es decir, $0<H^1(E)<\infty $. G. David y J.C. Léger (1999) probaron que el núcleo de Cauchy $1/z$ (e su
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Tarkhanov, Nikolai. "Operator algebras related to the Bochner-Martinelli Integral." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2978/.

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We describe a general method of computing the square of the singular integral of Bochner-Martinelli. Any explicit formula for the square applies in a familiar way to describe the C*-algebra generated by this integral.
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Bär, Christian. "Renormalized integrals and a path integral formula for the heat kernel on a manifold." Universität Potsdam, 2012. http://opus.kobv.de/ubp/volltexte/2012/6005/.

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We introduce renormalized integrals which generalize conventional measure theoretic integrals. One approximates the integration domain by measure spaces and defines the integral as the limit of integrals over the approximating spaces. This concept is implicitly present in many mathematical contexts such as Cauchy's principal value, the determinant of operators on a Hilbert space and the Fourier transform of an L^p function. We use renormalized integrals to define a path integral on manifolds by approximation via geodesic polygons. The main part of the paper is dedicated to the proof of a path
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Khan, Mumtaz Ahmad, and Bhagwat Swaroop Sharma. "A study of three variable analogues of certain fractional integral operators." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/95821.

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The paper deals with a three variable analogues of certain fractional integral operators introduced by M. Saigo. Resides giving three variable analogues of earlier known fractional integral operators of one variable as a special cases of newly defined operators, the paper establishes certain results in the form of theorems including integration by parts.
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Nacinovich, Mauro, Bert-Wolfgang Schulze, and Nikolai N. Tarkhanov. "On carleman formulas for the dolbeault cohomology." Universität Potsdam, 1998. http://opus.kobv.de/ubp/volltexte/2008/2522/.

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We discuss the Cauchy problem for the Dolbeault cohomology in a domain of C n with data on a part of the boundary. In this setting we introduce the concept of a Carleman function which proves useful in the study of uniqueness. Apart from an abstract framework we show explicit Carleman formulas for the Dolbeault cohomology.
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Books on the topic "Integral Operator"

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Kravchenko, Victor G. Introduction to the theory of singular integral operators with shift. Kluwer Academic Publishers, 1994.

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Mikhlin, S. G. Singular integral operators. Springer-Verlag, 1986.

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I, Gohberg. One-dimensional linear singular integral equations. Birkhäuser Verlag, 1992.

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1952-, Kalitvin Anatolij S., and Zabreĭko P. P. 1939-, eds. Partial integral operators and integro-differential equations. M. Dekker, 2000.

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S, Kutateladze S., ed. Vector lattices and integral operators. Kluwer Academic Publishers, 1996.

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Novitsky, Igor M. Simultaneous unitary equivalence of operator families to integral operators with smooth kernels and its applications. Far-Eastern Branch of the Academy of Sciences of the USSR, 1990.

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Prössdorf, Siegfried. Numerical analysis for integral and related operator equations. Birkhäuser Verlag, 1991.

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Prössdorf, Siegfried. Numerical analysis for integral and related operator equations. Akademie Verlag, 1991.

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1954-, Ricker Werner, and Sánchez Pérez Enrique A, eds. Optimal domain and integral extension of operators: Acting in function spaces. Birkhäuser, 2008.

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1953-, Spitkovskiĭ Ilya M., ed. Convolution equations and singular integral operators: Selected papers of Israel Gohberg and Georg Heinig, Israel Gohberg and Nahum Krupnik. Birkhäuser, 2010.

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Book chapters on the topic "Integral Operator"

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Kress, Rainer. "Operator Approximations." In Linear Integral Equations. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-0559-3_10.

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Kress, Rainer. "Operator Approximations." In Linear Integral Equations. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-9593-2_10.

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Kress, Rainer. "Operator Approximations." In Linear Integral Equations. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-97146-4_10.

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Abramovich, Y., and C. Aliprantis. "Integral operators." In Problems in Operator Theory. American Mathematical Society, 2002. http://dx.doi.org/10.1090/gsm/051/05.

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Brayman, Volodymyr, Andrii Chaikovskyi, Oleksii Konstantinov, Alexander Kukush, Yuliya Mishura, and Oleksii Nesterenko. "Integral Equations." In Functional Analysis and Operator Theory. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-56427-7_13.

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Gohberg, Israel, and Seymour Goldberg. "Spectral Theory of Integral Operators." In Basic Operator Theory. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-5985-5_4.

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Cohen, Leon. "Path Integral Approach." In The Weyl Operator and its Generalization. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0294-9_8.

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Aral, Ali, Vijay Gupta, and Ravi P. Agarwal. "q-Integral Operators." In Applications of q-Calculus in Operator Theory. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6946-9_3.

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Helgason, Sigurdur. "The Mean-Value Operator." In Integral Geometry and Radon Transforms. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-6055-9_6.

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Osipov, Andrei, Vladimir Rokhlin, and Hong Xiao. "Analysis of the Integral Operator." In Prolate Spheroidal Wave Functions of Order Zero. Springer US, 2013. http://dx.doi.org/10.1007/978-1-4614-8259-8_5.

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Conference papers on the topic "Integral Operator"

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Bourhis, Johann, Damiano Franzò, Clément Henry, Adrien Merlini, and Francesco P. Andriulli. "On Operator Filtering for Integral Equations: The High-Order Case." In 2024 IEEE International Symposium on Antennas and Propagation and INC/USNC‐URSI Radio Science Meeting (AP-S/INC-USNC-URSI). IEEE, 2024. http://dx.doi.org/10.1109/ap-s/inc-usnc-ursi52054.2024.10686349.

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Merlini, Adrien, Clément Henry, Davide Consoli, Alexandre Dély, Lyes Rahmouni, and Francesco P. Andriulli. "On the Fast Direct Solution of Low-Frequency Integral Formulations via Operator Filtering." In 2023 URSI International Symposium on Electromagnetic Theory (EMTS). IEEE, 2023. https://doi.org/10.1109/emts57498.2023.10925280.

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Kal’menov, Tynysbek Sh, and Mukhtarbay Otelbaev. "Criterion of boundary integral operator." In ADVANCEMENTS IN MATHEMATICAL SCIENCES: Proceedings of the International Conference on Advancements in Mathematical Sciences. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4930428.

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Karelin, Oleksandr. "Operator Equalities for Singular Integral Operators and Their Applications." In Proceedings of the 4th International ISAAC Congress. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701732_0046.

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TAO, JICHENG. "FREDHOLM MODULE AND CAUCHY INTEGRAL OPERATOR." In Proceedings of the 13th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812773159_0026.

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Guo, Qin, Yukui Zhu, and Hongwei Sun. "Capacity dependent estimations by integral operator techniques." In 2010 3rd International Congress on Image and Signal Processing (CISP). IEEE, 2010. http://dx.doi.org/10.1109/cisp.2010.5648072.

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Liu, Yong, Shali Jiang, and Shizhong Liao. "Eigenvalues perturbation of integral operator for kernel selection." In the 22nd ACM international conference. ACM Press, 2013. http://dx.doi.org/10.1145/2505515.2505584.

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Oshah, Anessa, and Maslina Darus. "Some properties of integral operator involving Hadamard product." In THE 2016 UKM FST POSTGRADUATE COLLOQUIUM: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium. Author(s), 2016. http://dx.doi.org/10.1063/1.4966834.

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Castro, L. P., R. C. Guerra, and N. M. Tuan. "Heisenberg uncertainty principles for an oscillatory integral operator." In ICNPAA 2016 WORLD CONGRESS: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. Author(s), 2017. http://dx.doi.org/10.1063/1.4972629.

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Hu, Xiyuan, Silong Peng, and Wen-Liang Hwang. "An integral operator based adaptive signal separation approach." In ICASSP 2013 - 2013 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2013. http://dx.doi.org/10.1109/icassp.2013.6638837.

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Reports on the topic "Integral Operator"

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Fetcu, Dorel. Integral Submanifolds in Three-Sasakian Manifolds Whose Mean Curvature Vector Fields are Eigenvectors of the Laplace Operator. GIQ, 2012. http://dx.doi.org/10.7546/giq-9-2008-210-223.

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Smalley, A. J. TR-97-1 Crankshaft Protection-Guidelines for Operators of Slow Speed Integral Engine-Compressors. Pipeline Research Council International, Inc. (PRCI), 1997. http://dx.doi.org/10.55274/r0011856.

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This document presents best practices guidelines for crankshaft protection to operators of slow-speed integral engine/compressors. The text first provides some background to the problem of crankshaft failure. It then summarizes the guidelines in a series of one line recommendations, under the headings of: � Installation � Operation � Condition Monitoring and Inspection � Protection Systems � Condition Monitoring Criteria, Analysis, and Action This series of one-line recommendations is followed by a section that provides narrative discussion, background, rationale, and some illustrative graphic
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Ostashev, Vladimir, Michael Muhlestein, and D. Wilson. Extra-wide-angle parabolic equations in motionless and moving media. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/42043.

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Wide-angle parabolic equations (WAPEs) play an important role in physics. They are derived by an expansion of a square-root pseudo-differential operator in one-way wave equations, and then solved by finite-difference techniques. In the present paper, a different approach is suggested. The starting point is an extra-wide-angle parabolic equation (EWAPE) valid for small variations of the refractive index of a medium. This equation is written in an integral form, solved by a perturbation technique, and transformed to the spectral domain. The resulting split-step spectral algorithm for the EWAPE a
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Gloudemans, J. Multiloop integral system test (MIST): Test Group 36, Pump operation. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/5492059.

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Gerdjikov, Vladimir S., and Alexander V. Mikhailov. Recursion Operators and Reductions of Integrable Equations on Symmetric Spaces. GIQ, 2012. http://dx.doi.org/10.7546/giq-12-2011-11-42.

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Grinfeld, Pavel. Recursion Operators and Reductions of Integrable Equations on Symmetric Spaces. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-20-2010-1-34.

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Harris and Edlund. L51766 Instantaneous Rotational Velocity Development. Pipeline Research Council International, Inc. (PRCI), 1997. http://dx.doi.org/10.55274/r0010119.

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Considerable effort has been put forth to develop an automated method for balancing the power cylinders of reciprocating integral engines used in the natural gas industry. The benefits to power cylinder balance include reducted emissions and improved cylinder component mechanical integrity (which should lead to reductions in repair costs). The current approach to automate engine balancing uses pressure transducers to measure cylinder pressure, then integrate the signals into the engine fuel /timing management controller to achieve engine balance. Each power cylinder must be instrumented, which
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Gautam, Mamta, Kavita Wankhade, Mamta Mantri, et al. De-Sludging Operators: An Assessment of Occupational Safety in Two Indian Cities. Indian Institute for Human Settlements, 2019. http://dx.doi.org/10.24943/tnusspdo09.2019.

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Safe collection, handling and transport of fecal sludge is an integral part of septage management. Limited attention has been paid to the safe collection, transport, disposal and treatment of human excreta from septic tanks. A study was conducted in two cities in India to understand the current desludging practices, the underlying reasons for current occupational practices and hazards, relevance and sufficiency of personal protection equipment, and suggest ways to improve occupational safety. This report presents the findings of the study along with recommendations which are mapped on the hier
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Miller, Jack. Overseas Electricity Interconnection. Parliamentary Office of Science and Technology, 2018. http://dx.doi.org/10.58248/pn569.

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Electricity markets in the UK, Ireland and continental Europe are physically linked by ‘interconnector’ cables. These benefit energy system operators and consumers by reducing prices. They can also help integrate renewable electricity and ensure security of supply. This note discusses these benefits, proposals for future increases in interconnection and the potential effects of Brexit.
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Zhylenko, Tetyana I. Auto Checker of Higher Mathematics - an element of mobile cloud education. [б. в.], 2020. http://dx.doi.org/10.31812/123456789/3895.

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Abstract:
We analyzed the main cloud services in the article. We also described the main contribution of mobile cloud technology to education. The article presents the author’s development from the field of mobile cloud education in higher mathematics. The design architecture of this application is described in detail: QR generator and scanner, authorization, sending tasks. Block diagrams and images are presented that clearly demonstrate the operation of the application. We showed an example of solving the integral from the section of integral calculus for higher mathematics and showed how to download t
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