Relevant bibliographies by topics / P-convergent function

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'P-convergent function'

Author: Grafiati
Published: 4 June 2021
Last updated: 7 February 2022

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Journal articles on the topic "P-convergent function"

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Esi, A. "ON SOME NEW PARANORMED SEQUENCE SPACES OF FUZZY NUMBERS DEFINED BY ORLICZ FUNCTIONS AND STATISTICAL CONVERGENCE." Mathematical Modelling and Analysis 11, no. 4 (2006): 379–88. http://dx.doi.org/10.3846/13926292.2006.9637325.

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In this paper we introduce the concept of strongly λ(p) convergence of fuzzy numbers with respect to an Orlicz function and examine some properties of the resulting sequence spaces and λ(p) – statistical convergence. It is also shown that if a sequence of fuzzy numbers is strong λ(p) convergent with respect to an Orlicz function then it is λ(p) – statistically convergent.
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Khusnussaadah, Nur, and S. Supama. "Completeness of Sequence Spaces Generated by an Orlicz Function." JURNAL EKSAKTA 19, no. 1 (2019): 1–14. http://dx.doi.org/10.20885/eksakta.vol19.iss1.art1.

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In this paper, we discuss about completeness property of Orlicz sequence spaces defined by an Orlicz function. Orlicz sequence space is generalization of p-summable sequence space, for every which is also an Orlicz sequence space. Based on the property of convergence sequence on norm space, we define $\Phi$-convergence sequence on Orlicz sequence space. Moreover, we define $\Phi$-Cauchy sequence and $\Phi$-complete on Orlicz sequence space. In this paper, we show the relationship between the (ordinary) convergent sequence, $\Phi$-convergent and $\Phi$-Cauchy sequences. Finally, it will also be
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Davis, Christopher, and Daqing Wan. "L-functions of p-adic characters." Nagoya Mathematical Journal 213 (March 2014): 77–104. http://dx.doi.org/10.1215/00277630-2379114.

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AbstractWe define a p-adic character to be a continuous homomorphism from For p > 2, we use the ring of big Witt vectors over to exhibit a bijection between p-adic characters and sequences (ci)(i,p)=1 of elements in indexed by natural numbers relatively prime to p, and for which . To such a p-adic character we associate an L-function, and we prove that this L-function is p-adic meromorphic if the corresponding sequence (ci) is overconvergent. If more generally the sequence is C log-convergent, we show that the associated L-function is meromorphic in the open disk of radius qC. Finally, we e
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Davis, Christopher, and Daqing Wan. "L-functions of p-adic characters." Nagoya Mathematical Journal 213 (March 2014): 77–104. http://dx.doi.org/10.1017/s0027763000026180.

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AbstractWe define ap-adic character to be a continuous homomorphism fromForp> 2, we use the ring of big Witt vectors overto exhibit a bijection betweenp-adic characters and sequences (ci)(i,p)=1of elements inindexed by natural numbers relatively prime top, and for which. To such ap-adic character we associate anL-function, and we prove that thisL-function isp-adic meromorphic if the corresponding sequence (ci) is overconvergent. If more generally the sequence isClog-convergent, we show that the associatedL-function is meromorphic in the open disk of radiusqC. Finally, we exhibit example
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Savas, Ekrem, and Richard Patterson. "On some double almost lacunary sequence spaces defined by Orlicz functions." Filomat, no. 19 (2005): 35–44. http://dx.doi.org/10.2298/fil0519035s.

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In this paper we introduce a new concept for almost lacunary strong P-convergent with respect to an Orlicz function and examine some properties of the resulting sequence space. We also introduce and study almost lacunary statistical convergence for double sequences and we shall also present some inclusion theorems.
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Subramanian, N., N. Rajagopal, and P. Thirunavukarasu. "Riesz almost lacunary multiple triple sequence spaces of $\Gamma^{3}$ defined by a Musielak-Orlicz function." Boletim da Sociedade Paranaense de Matemática 37, no. 4 (2018): 47–59. http://dx.doi.org/10.5269/bspm.v37i4.32163.

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In this paper we introduce a new concept for Riesz almost lacunary $\Gamma^{3}$ sequence spaces strong $P-$ convergent to zero with respect to an Musielak-Orlicz function and examine some properties of the resulting sequence spaces. We also introduce and study statistical convergence of Riesz almost lacunary $\Gamma^{3}$ sequence spaces and also some inclusion theorems are discussed.
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Prokop, Frank P. "Convergence in neighbourhood lattices." Bulletin of the Australian Mathematical Society 40, no. 1 (1989): 129–45. http://dx.doi.org/10.1017/s0004972700003580.

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A consideration of the separation properties of pre-neighbourhood lattices, leads to the definition and characterisation of T1-neighbourhood lattices in terms of the properties of the neighbourhood mapping, independently of points. It is then shown that if net convergence is defined in neighbourhood lattices as a consequence of replacing ‘point’ by ‘set’ in topological convergence, then the limits of convergent nets are unique. The relationship between continuity and convergence is established with the proof of the statement that a residuated function between conditionally complete T1-neighbou
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Kemal Ozdemir, M., Ayhan Esi та Nagarajan Subramanian. "Rough convergence of Bernstein fuzzy I-convergent of χf(Δ,p)3I(F) space defined by Orlicz function". Journal of Intelligent & Fuzzy Systems 37, № 4 (2019): 5067–73. http://dx.doi.org/10.3233/jifs-182832.

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Subramanian, N. "The almost lacunary $\chi^{2}$ sequence spaces defined by modulus." Boletim da Sociedade Paranaense de Matemática 32, no. 2 (2014): 209. http://dx.doi.org/10.5269/bspm.v32i2.21468.

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In this paper we introduce a new concept for almost lacunary $\chi^{2}$ sequence spaces strong $P-$ convergent to zero with respect to an modulus function and examine some properties of the resulting sequence spaces. We also introduce and study statistical convergence of almost lacunary $\chi^{2}$ sequence spaces and also some inclusion theorems are discussed.
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Celada, P., and S. Perrotta. "Minimizing non-convex multiple integrals: a density result." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 130, no. 4 (2000): 721–41. http://dx.doi.org/10.1017/s030821050000038x.

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We consider variational problems of the form where Ω is a bounded open set in RN, f : RN → R is a possibly non-convex lower semicontinuous function with p-growth at infinity for some 1 < p < ∞, and the boundary datum u0 is any function in W1, p (Ω). Assuming that the convex envelope f** of f is affine on each connected component of the set {f** < f}, we prove the existence of solutions to ( P) for every continuous function g such that (i) g has no strict local minima and (ii) every convergent sequence of extremum points of g eventually belongs to an interval where g is constant, thus
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Dissertations / Theses on the topic "P-convergent function"

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Zeekoei, Elroy Denovanne. "A study of Dunford-Pettis-like properties with applications to polynomials and analytic functions on normed spaces / Elroy Denovanne Zeekoei." Thesis, North-West University, 2011. http://hdl.handle.net/10394/7586.

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Recall that a Banach space X has the Dunford-Pettis property if every weakly compact operator defined on X takes weakly compact sets into norm compact sets. Some valuable characterisations of Banach spaces with the Dunford-Pettis property are: X has the DPP if and only if for all Banach spaces Y, every weakly compact operator from X to Y sends weakly convergent sequences onto norm convergent sequences (i.e. it requires that weakly compact operators on X are completely continuous) and this is equivalent to “if (xn) and (x*n) are sequences in X and X* respectively and limn xn = 0 weakly and limn
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Huang, Yen-Chin. "Empirical distribution function statistics, speed of convergence, and p-variation." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/12017.

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Book chapters on the topic "P-convergent function"

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Calvin, James M. "Convergence Rate of the P-Algorithm for Optimization of Continuous Functions." In Nonconvex Optimization and Its Applications. Springer US, 2000. http://dx.doi.org/10.1007/978-1-4757-3145-3_8.

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Levin, A. L., and E. B. Saff. "Exact convergence rates for best L P rational approximation to the signum function and for optimal quadrature in H P." In Methods of Approximation Theory in Complex Analysis and Mathematical Physics. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/bfb0117476.

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Schwab, Christoph. "Exponential Convergence of Simplicial h p-FEM for H 1-Functions with Isotropic Singularities." In Lecture Notes in Computational Science and Engineering. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19800-2_40.

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Kumar, Manish, Benjamin A. Landon, R. N. Mohapatra, and Tusharakanta Pradhan. "Degree of Convergence of Some Operators Associated with Hardy-Littlewood Series for Functions of Class Lip(α, p), p > 1." In Springer Optimization and Its Applications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-61887-2_9.

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Baláž, Vladimír, and Tomáš Visnyai. "I–Convergence of Arithmetical Functions." In Number Theory and Its Applications. IntechOpen, 2020. http://dx.doi.org/10.5772/intechopen.91932.

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Let n > 1 be an integer with its canonical representation, n = p 1 α 1 p 2 α 2 ⋯ p k α k . Put H n = max α 1 … α k , h n = min α 1 … α k , ω n = k , Ω n = α 1 + ⋯ + α k , f n = ∏ d ∣ n d and f ∗ n = f n n . Many authors deal with the statistical convergence of these arithmetical functions. For instance, the notion of normal order is defined by means of statistical convergence. The statistical convergence is equivalent with I d –convergence, where I d is the ideal of all subsets of positive integers having the asymptotic density zero. In this part, we will study I –convergence of the well-known arithmetical functions, where I = I c q = A ⊂ N : ∑ a ∈ A a − q < + ∞ is an admissible ideal on N such that for q ∈ 0 1 we have I c q ⊊ I d , thus I c q –convergence is stronger than the statistical convergence ( I d –convergence).
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Skaf, Zakwan. "Iterative Fault Tolerant Control for General Discrete-Time Stochastic Systems Using Output Probability Density Estimation." In Diagnostics and Prognostics of Engineering Systems. IGI Global, 2013. http://dx.doi.org/10.4018/978-1-4666-2095-7.ch001.

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A new design of a fault tolerant control (FTC)-based an adaptive, fixed-structure proportional-integral (PI) controller with constraints on the state vector for nonlinear discrete-time system subject to stochastic non-Gaussian disturbance is studied. The objective of the reliable control algorithm scheme is to design a control signal such that the actual probability density function (PDF) of the system is made as close as possible to a desired PDF, and make the tracking performance converge to zero, not only when all components are functional but also in case of admissible faults. A Linear Matrix Inequality (LMI)-based FTC method is presented to ensure that the fault can be estimated and compensated for. A radial basis function (RBF) neural network is used to approximate the output PDF of the system. Thus, the aim of the output PDF control will be a RBF weight control with an adaptive tuning of the basis function parameters. The key issue here is to divide the control horizon into a number of equal time intervals called batches. Within each interval, there are a fixed number of sample points. The design procedure is divided into two main algorithms, within each batch, and between any two adjacent batches. A P-type Iterative Learning Control (ILC) law is employed to tune the parameters of the RBF neural network so that the PDF tracking error decreases along with the batches. Sufficient conditions for the proposed fault tolerance are expressed as LMIs. An analysis of the ILC convergence is carried out. Finally, the effectiveness of the proposed method is demonstrated with an illustrated example.
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Aïıt-Sahalia, Yacine, and Jean Jacod. "With Jumps: An Introduction to Power Variations." In High-Frequency Financial Econometrics. Princeton University Press, 2014. http://dx.doi.org/10.23943/princeton/9780691161433.003.0004.

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This chapter studies the simplest possible process having both a non-trivial continuous part and jumps. It starts with the asymptotic behavior of power variations when the model is nonparametric, that is, without specifying the law of the jumps. This is done in the same spirit as in Chapter 3: the ideas for the proofs are explained in detail, but technicalities are omitted. Then, it considers the use of these variations in a parametric estimation setting based on the generalized method of moments. There, it considers the ability of certain moment functions, corresponding to power variations, to achieve identification of the parameters of the model and the resulting rate of convergence. It shows that the general nonparametric results have a parametric counterpart in terms of which values of the power p are better able to identify parameters from either the continuous or jump part of the model.
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Conference papers on the topic "P-convergent function"

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Balch, Chad D. "Structural Finite Elements With High-Order Basis Functions." In ASME 1991 International Computers in Engineering Conference and Exposition. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/cie1991-0099.

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Abstract In the p-version of the finite element method, convergence is achieved by increasing the polynomial order of the elements. This paper discusses high-order three-dimensional carved beam and shell elements which have been implemented in a general purpose p-version linear finite element code. The displacement and rotation fields are represented by polynomials up to ninth order. Beam axes are three-dimensional space curves, and shell midsurfaces are general doubly-curved surfaces. Results for linear static and modal analyses are presented. In particular, it is demonstrated that a relative
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Lai, Ye-Chen, Timothy C. S. Liang, and Zhenxue Jia. "Implementation of p and h-p Versions of the Finite Element Method." In ASME 1992 International Computers in Engineering Conference and Exposition. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/cie1992-0114.

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Abstract Based on hierarchic shape functions and an effective convergence procedure, the p-version and h-p adaptive analysis capabilities were incorporated into a finite element software system, called COSMOS/M. The range of the polynomial orders can be varied from 1 to 10 for two dimensional linear elastic analysis. In the h-p adaptive analysis process, a refined mesh are first achieved via adaptive h-refinement. The p-refinement is then added on to the h-version designed mesh by uniformly increasing the degree of the polynomials. Some numerical results computed by COSMOS/M are presented to i
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Surana, K. S., and M. A. Bona. "Computations of Higher Class Solutions of Partial Differential Equations." In ASME 2001 Engineering Technology Conference on Energy. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/etce2001-17142.

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Abstract This paper presents a new computational strategy, computational framework and mathematical framework for numerical computations of higher class solutions of differential and partial differential equations. The approach presented here utilizes ‘strong forms’ of the governing differential equations (GDE’s) and least squares approach in constructing the integral form. The conventional, or currently used, approaches seek the convergence of a solution in a fixed (order) space by h, p or hp-adaptive processes. The fundamental point of departure in the proposed approach is that we seek conve
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Yu, Deqi, Xiaojuan Zhang, Jiandao Yang, Kai Cheng, and Ming Li. "Structural Optimization of Fir-Tree Root and Groove for Turbine Blade With Superellipse and P-Norm Aggregation Function." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-92005.

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Abstract Due to its finite size and the large centrifugal load, the fir-tree root is highly stressed, which leads to the possible early failure of the gas turbine and steam turbine. To find an optimized fir-tree root is an important issue for the design of the turbine structures. In this paper, a superellipse-based design optimization approach is proposed for the fir-tree root. Rather than the straight line and arc used in literature, the combination of the superellipse curve and line are employed to characterize the fir-tree root since the superellipse curve represents a large family of curve
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Surana, K. S., and Ali R. Ahmadi. "A New Theoretical and Computational Framework for Computing Solution of Higher Classes With Application to Gasdynamics in Eulerian Frame of Reference." In ASME 2001 Engineering Technology Conference on Energy. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/etce2001-17149.

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Abstract This paper presents a new computational strategy along with a computational and mathematical framework for computing non-weak numerical solutions of stationary and time dependent partial differential equations. This approach utilizes strong form of the governing differential equations (GDE) and least squares approach in constructing the integral form. This new proposed approach is applied to one dimensional transient gasdynamics equation in Eulerian frame of reference using ρ, u, T as dependent variables. The currently used finite element approaches seek convergence of a solution in a
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DeSmidt, Hans A., K. W. Wang, and Edward C. Smith. "Multi-Harmonic Adaptive Vibration Control of AMB-Driveline Systems With Non-Constant Velocity Flexible Couplings." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48545.

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Active Magnetic Bearings (AMB) have been proposed by many researchers and engineers as an alternative to replace traditional contact bearings in rotors and driveshafts. Such active, non-contact bearings do not have frictional wear and can be used to suppress vibration in sub- and supercritical rotor dynamic applications. One important issue that has not yet been addressed in previous AMB driveline control studies is the effect of non-constant velocity (NCV) flexible couplings, such as U-Joint or disk-type couplings. The NCV effects introduce periodic parametric and forcing actions that are fun
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Shi, Shaohuai, Kaiyong Zhao, Qiang Wang, Zhenheng Tang, and Xiaowen Chu. "A Convergence Analysis of Distributed SGD with Communication-Efficient Gradient Sparsification." In Twenty-Eighth International Joint Conference on Artificial Intelligence {IJCAI-19}. International Joint Conferences on Artificial Intelligence Organization, 2019. http://dx.doi.org/10.24963/ijcai.2019/473.

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Gradient sparsification is a promising technique to significantly reduce the communication overhead in decentralized synchronous stochastic gradient descent (S-SGD) algorithms. Yet, many existing gradient sparsification schemes (e.g., Top-k sparsification) have a communication complexity of O(kP), where k is the number of selected gradients by each worker and P is the number of workers. Recently, the gTop-k sparsification scheme has been proposed to reduce the communication complexity from O(kP) to O(k logP), which significantly boosts the system scalability. However, it remains unclear whethe
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Wang, Qian, Lucas Schmotzer, and Yongwook Kim. "Efficient Structural Design Using a Numerical Optimization Technique." In IABSE Congress, New York, New York 2019: The Evolving Metropolis. International Association for Bridge and Structural Engineering (IABSE), 2019. http://dx.doi.org/10.2749/newyork.2019.0499.

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<p>Structural designs of complex buildings and infrastructures have long been based on engineering experience and a trial-and-error approach. The structural performance is checked each time when a design is determined. An alternative strategy based on numerical optimization techniques can provide engineers an effective and efficient design approach. To achieve an optimal design, a finite element (FE) program is employed to calculate structural responses including forces and deformations. A gradient-based or gradient-free optimization method can be integrated with the FE program to guide
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Surana, K. S., and Ali R. Ahmadi. "Computations of Solutions of Higher Classes of Gasdynamics Equations in Lagrangian Frame of Reference Using a New Theoretical and Computational Framework." In ASME 2001 Engineering Technology Conference on Energy. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/etce2001-17152.

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Abstract In this paper we present and utilize a new theoretical and computational framework for computing solutions of higher classes of one dimensional transient Navier-Stokes partial differential equations in Lagrangian frame of reference using ρ, u, T variables. The approach utilizes ‘strong form’ of the governing differential equations (GDEs) and least squares method in constructing integral form. The currently used finite element approaches seek convergence of a solution in a fixed order space by h, p, or hp-adaptive processes. The fundamental point of departure in the proposed approach i
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He, K., and W. D. Zhu. "Damage Detection of Space Frame Structures With L-Shaped Beams and Bolted Joints Using Changes in Natural Frequencies." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48982.

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It is difficult to use conventional non-destructive testing methods to detect damage, such as loosening of bolted connections, in a space frame structure due to the complexity of the structure and the nature of the possible damage. A vibration-based method that uses changes in the natural frequencies of a structure to detect the locations and extent of damage in it has the advantage of being able to detect various types of damage in the structure, including loosening of bolted connections. Since the vibration-based method is model-based, applying it to a space frame structure with L-shaped bea
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