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Summary:

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.

Table of Contents:

• 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 (Karapınar)
• 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 ρ-functional equations in β-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 Möbius 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).

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Contributors:

Rassias, Themistocles M , editor

Languages:

English

Language Notes:

Item content: English

Subjects:

Mathematical optimization

Approximation theory

Difference equations

Functional equations

Physical Description:

XII, 546 pages 18 illustrations, 15 illustrations in color : online resource.

Digital Characteristics:

text file

Call Numbers:

QA221 .A677 2021eb

ISBNs:

9783030606220
9788303060624 (0)

Other Standard Numbers:

Digital Object Identifier: 10.1007/978-3-030-60622-0

OCLC Numbers:

1282251688