UID:
almahu_9949116151902882
Format:
XII, 546 p. 18 illus., 15 illus. in color.
,
online resource.
Edition:
1st ed. 2021.
ISBN:
9783030606220
Content:
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.
Note:
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).
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9783030606213
Additional Edition:
Printed edition: ISBN 9783030606237
Additional Edition:
Printed edition: ISBN 9783030606244
Language:
English
DOI:
10.1007/978-3-030-60622-0
URL:
https://doi.org/10.1007/978-3-030-60622-0
