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Full Description
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.
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).
