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[ subject:"Integral inequalities." ]
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Approximation theory and analytic in...
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Rassias, Themistocles M.
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Approximation theory and analytic inequalities
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Approximation theory and analytic inequalities/ edited by Themistocles M. Rassias.
其他作者:
Rassias, Themistocles M.
出版者:
Cham :Springer International Publishing : : 2021.,
面頁冊數:
xii, 546 p. :ill., digital ;24 cm.
內容註:
Harmonic Hermite-Hadamard inequalities involving Mittag-Leffler function (Aslam Noor) -- Two dimensional Trapezium inequalities via pq-convex functions (Aslam Noor) -- New k-conformable fractional integral inequalities (Uzair Awan) -- On The Hyers-Ulam-Rassias Approximately Ternary Cubic Higher Derivations (Kenary) -- Hyers-Ulam stability for differential equations and partial differential equations via Gronwall Lemma (Mariana) -- On b-metric spaces and Brower and Schauder fixed point principles (Czerwik) -- Deterministic Prediction Theory (Daras) -- Accurate Approximations of the weighted exponential Beta function (Sever Dragomir) -- On the multiplicity of the zeros of polynomials with constrained coefficients (Erdelyi) -- Generalized barycentric coordinates and sharp strongly negative definite multidimensional numerical integration (Guessab) -- Further results on continuous random variables via fractional integrals (Agarwal) -- Nonunique fixed points on partial metric spaces via control functions (Karapinar) -- Some new refinement of Gauss-Jacobi and Hermite-Hadamard type integral inequalities (Kashuri) -- New trapezium type inequalities for preinvex functions via generalized fractional integral operators and their applications (Kashuri) -- New Trapezoid Type Inequalities for Generalized Exponentially Strongly Convex Functions (Jichang) -- Additive-quadratic p-functional equations in B-homogeneous normed spaces (Park) -- Stability of bi-additive s-functional inequalities and quasi-multipliers (Park) -- On the stability of some functional equations and s-functional inequalities (Najati) -- Stability of the Cosine-Sine functional equation on amenable groups (Elhoucien) -- Introduction to Halanay lemma, via weakly Picard operator theory (Petrusel) -- An inequality related to Mobius transformations (Suksumran) -- On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Hyperbolic Tangent Function and Parameters (Rassias) -- Analysis of Apostol-type numbers and polynomials with their approximations and asymptotic behavior (Simsek) -- A general lower bound for the asymptotic convergence factor (Tsirivas) -- Inequalities for mean dual affine quermassintegrals (Cheung) -- A Reduced-Basis Polynomial-Chaos Approach with a Multi-Parametric Truncation Scheme for Problems with Uncertainties (Zygiridis)
Contained By:
Springer Nature eBook
標題:
Approximation theory. -
電子資源:
https://doi.org/10.1007/978-3-030-60622-0
ISBN:
9783030606220
Approximation theory and analytic inequalities
Approximation theory and analytic inequalities
[electronic resource] /edited by Themistocles M. Rassias. - Cham :Springer International Publishing :2021. - xii, 546 p. :ill., digital ;24 cm.
Harmonic Hermite-Hadamard inequalities involving Mittag-Leffler function (Aslam Noor) -- Two dimensional Trapezium inequalities via pq-convex functions (Aslam Noor) -- New k-conformable fractional integral inequalities (Uzair Awan) -- On The Hyers-Ulam-Rassias Approximately Ternary Cubic Higher Derivations (Kenary) -- Hyers-Ulam stability for differential equations and partial differential equations via Gronwall Lemma (Mariana) -- On b-metric spaces and Brower and Schauder fixed point principles (Czerwik) -- Deterministic Prediction Theory (Daras) -- Accurate Approximations of the weighted exponential Beta function (Sever Dragomir) -- On the multiplicity of the zeros of polynomials with constrained coefficients (Erdelyi) -- Generalized barycentric coordinates and sharp strongly negative definite multidimensional numerical integration (Guessab) -- Further results on continuous random variables via fractional integrals (Agarwal) -- Nonunique fixed points on partial metric spaces via control functions (Karapinar) -- Some new refinement of Gauss-Jacobi and Hermite-Hadamard type integral inequalities (Kashuri) -- New trapezium type inequalities for preinvex functions via generalized fractional integral operators and their applications (Kashuri) -- New Trapezoid Type Inequalities for Generalized Exponentially Strongly Convex Functions (Jichang) -- Additive-quadratic p-functional equations in B-homogeneous normed spaces (Park) -- Stability of bi-additive s-functional inequalities and quasi-multipliers (Park) -- On the stability of some functional equations and s-functional inequalities (Najati) -- Stability of the Cosine-Sine functional equation on amenable groups (Elhoucien) -- Introduction to Halanay lemma, via weakly Picard operator theory (Petrusel) -- An inequality related to Mobius transformations (Suksumran) -- On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Hyperbolic Tangent Function and Parameters (Rassias) -- Analysis of Apostol-type numbers and polynomials with their approximations and asymptotic behavior (Simsek) -- A general lower bound for the asymptotic convergence factor (Tsirivas) -- Inequalities for mean dual affine quermassintegrals (Cheung) -- A Reduced-Basis Polynomial-Chaos Approach with a Multi-Parametric Truncation Scheme for Problems with Uncertainties (Zygiridis)
This contributed volume focuses on various important areas of mathematics in which approximation methods play an essential role. It features cutting-edge research on a wide spectrum of analytic inequalities with emphasis on differential and integral inequalities in the spirit of functional analysis, operator theory, nonlinear analysis, variational calculus, featuring a plethora of applications, making this work a valuable resource. The reader will be exposed to convexity theory, polynomial inequalities, extremal problems, prediction theory, fixed point theory for operators, PDEs, fractional integral inequalities, multidimensional numerical integration, Gauss-Jacobi and Hermite-Hadamard type inequalities, Hilbert-type inequalities, and Ulam's stability of functional equations. Contributions have been written by eminent researchers, providing up-to-date information and several results which may be useful to a wide readership including graduate students and researchers working in mathematics, physics, economics, operational research, and their interconnections.
ISBN: 9783030606220
Standard No.: 10.1007/978-3-030-60622-0doiSubjects--Topical Terms:
628068
Approximation theory.
LC Class. No.: QA221
Dewey Class. No.: 511.4
Approximation theory and analytic inequalities
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