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Bibliografías temáticas / Geometric-analytic inequalities

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Artículos de revistas

Literatura académica sobre el tema "Geometric-analytic inequalities"

Autor: Grafiati

Publicado: 10 de marzo de 2023

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Artículos de revistas sobre el tema "Geometric-analytic inequalities"

1

Ku, Hsu-Tung, Mei-Chin Ku, and Xin-Min Zhang. "Analytic and geometric isoperimetric inequalities." Journal of Geometry 53, no. 1-2 (1995): 100–121. http://dx.doi.org/10.1007/bf01224044.

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2

Brooks, Robert. "Book Review: Isoperimetric inequalities: Differential geometric and analytic perspectives." Bulletin of the American Mathematical Society 39, no. 04 (2002): 581–85. http://dx.doi.org/10.1090/s0273-0979-02-00954-0.

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3

Venkateswarlu, Bolenini, Pinninti Thirupathi Reddy, Şahsene Altınkaya, Nattakan Boonsatit, Porpattama Hammachukiattikul, and Vaishnavy Sujatha. "On a Certain Subclass of Analytic Functions Defined by Touchard Polynomials." Symmetry 14, no. 4 (2022): 838. http://dx.doi.org/10.3390/sym14040838.

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This paper focuses on the establishment of a new subfamily of analytic functions including Touchard polynomials. Then, we attempt to obtain geometric properties such as coefficient inequalities, distortion properties, extreme points, radii of starlikeness and convexity, partial sums, neighbourhood results and integral means’ inequality for this class. The symmetry properties of the subfamily of functions established in the current paper may be examined as future research directions.

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4

Al-shbeil, Isra, Jianhua Gong, and Timilehin Gideon Shaba. "Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator." Fractal and Fractional 7, no. 2 (2023): 155. http://dx.doi.org/10.3390/fractalfract7020155.

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This article defines a new operator called the q-Babalola convolution operator by using quantum calculus and the convolution of normalized analytic functions in the open unit disk. We then study a new class of analytic and bi-univalent functions defined in the open unit disk associated with the q-Babalola convolution operator. The main results of the investigation include some upper bounds for the initial Taylor–Maclaurin coefficients and Fekete–Szego inequalities for the functions in the new class. Many applications of the finds are highlighted in the corollaries based on the various unique c

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5

Ibrahim, Rabha W., Rafida M. Elobaid, and Suzan J. Obaiys. "Geometric Inequalities via a Symmetric Differential Operator Defined by Quantum Calculus in the Open Unit Disk." Journal of Function Spaces 2020 (August 18, 2020): 1–8. http://dx.doi.org/10.1155/2020/6932739.

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The present investigation covenants with the concept of quantum calculus besides the convolution operation to impose a comprehensive symmetric q-differential operator defining new classes of analytic functions. We study the geometric representations with applications. The applications deliberated to indicate the certainty of resolutions of a category of symmetric differential equations type Briot-Bouquet.

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6

Singh, Gagandeep, and Gurcharanjit Singh. "COEFFICIENT PROBLEMS FOR THE SUBCLASSES OF SAKAGUCHI TYPE FUNCTIONS ASSOCIATED WITH SINE FUNCTION." Jnanabha 51, no. 02 (2021): 237–43. http://dx.doi.org/10.58250/jnanabha.2021.51230.

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Abstract The estimation of the upper bound for certain coefficient relations of various subclasses of analytic functions is an active topic of research in Geometric function theory. In this paper, certain subclasses of Sakaguchi type functions are defined by subordinating to sine function in the open unit disc E = {z : |z| < 1} and some coefficient inequalities such as Fekete-Szegö inequality, Second Hankel determinant, Zalcman functional and third Hankel determinant are investigated.

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7

Aldawish, Ibtisam, Rabha W. Ibrahim, and Suzan J. Obaiys. "A Class of Symmetric Fractional Differential Operator Formed by Special Functions." Journal of Mathematics 2022 (August 2, 2022): 1–10. http://dx.doi.org/10.1155/2022/8339837.

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In light of a certain sort of fractional calculus, a generalized symmetric fractional differential operator based on Raina’s function is built. The generalized operator is then used to create a formula for analytic functions of type normalized. We use the ideas of subordination and superordination to show a collection of inequalities using the suggested differential operator. The new Raina’s operator is also used to the generalized kinematic solutions (GKS). Using the concepts of subordination and superordination, we provide analytic solutions for GKS. As a consequence, a certain hypergeometri

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8

SONG, ZHIGANG, J. Q. LIANG, and L. F. WEI. "SPIN-PARITY EFFECT IN VIOLATION OF BELL'S INEQUALITIES." Modern Physics Letters B 28, no. 01 (2013): 1450004. http://dx.doi.org/10.1142/s0217984914500043.

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Analytic formulas of Bell correlations are derived in terms of quantum probability statistics under the assumption of measuring outcome-independence and the Bell's inequalities (BIs) are extended to general bipartite-entanglement macroscopic quantum-states (MQS) of arbitrary spins. For a spin-½ entangled state we find analytically that the violations of BIs really resulted from the quantum nonlocal correlations. However, the BIs are always satisfied for the spin-1 entangled MQS. More generally the quantum nonlocality does not lead to the violation for the integer spins since the nonlocal inter

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9

Aldawish, Ibtisam, and Rabha W. Ibrahim. "Solvability of a New q-Differential Equation Related to q-Differential Inequality of a Special Type of Analytic Functions." Fractal and Fractional 5, no. 4 (2021): 228. http://dx.doi.org/10.3390/fractalfract5040228.

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The current study acts on the notion of quantum calculus together with a symmetric differential operator joining a special class of meromorphic multivalent functions in the puncher unit disk. We formulate a quantum symmetric differential operator and employ it to investigate the geometric properties of a class of meromorphic multivalent functions. We illustrate a set of differential inequalities based on the theory of subordination and superordination. In this real case study, we found the analytic solutions of q-differential equations. We indicate that the solutions are given in terms of conf

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10

Feehan, Paul M. N., and Manousos Maridakis. "Łojasiewicz–Simon gradient inequalities for analytic and Morse–Bott functions on Banach spaces." Journal für die reine und angewandte Mathematik (Crelles Journal) 2020, no. 765 (2020): 35–67. http://dx.doi.org/10.1515/crelle-2019-0029.

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AbstractWe prove several abstract versions of the Łojasiewicz–Simon gradient inequality for an analytic function on a Banach space that generalize previous abstract versions of this inequality, weakening their hypotheses and, in particular, that of the well-known infinite-dimensional version of the gradient inequality due to Łojasiewicz [S. Łojasiewicz, Ensembles semi-analytiques, (1965), Publ. Inst. Hautes Etudes Sci., Bures-sur-Yvette. LaTeX version by M. Coste, August 29, 2006 based on mimeographed course notes by S. Łojasiewicz, https://perso.univ-rennes1.fr/michel.coste/Lojasiewicz.pdf] a

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