Pardalos P. Mathematical Analysis, Optimization, Approximation And Apps 2025

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Pardalos P. Mathematical Analysis, Optimization, Approximation And Apps 2025

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Textbook in PDF format In this book, one can find both research and survey papers presenting results in a broad spectrum of subjects in pure and applied mathematics. The content is devoted to various subjects in which mathematical analysis plays an integral role, such as in approximation theory, optimization, and their applications. In more detail, topics treated within this book include relator spaces, Sobolev spaces, Banach spaces, locally convex spaces, integral operators, Szasz–Mirakyan operators, stochastic properties of circuit chains, boundary value problems, functional equations, Ulam stability, analytic inequalities, variational inequalities, orthogonal polynomials, Kuratowski’s topology, and Lyusternik–Schnirelmann theory. Furthermore, this book presents applications of the theory and techniques investigated to supply chain network models, cardiac hemodynamics, and various game theoretic problems. This book will be useful to graduate students and advanced research scientists in various branches of pure and applied mathematics in which methods of analysis are applied. Effort was made for the content to constitute a reference source for researchers in mathematics, physics, and engineering. We would like to express our thanks to all contributing authors for participating in this publication. We are very thankful as well to the staff of World Scientific Publishing for their very valuable assistance throughout the preparation of this book. Extensions of the Cosine-Sine Functional Equation No Ulam Stability, but Modified Ulam Stability of First-Order q-Difference Equations with Periodic Coefficient Generalized Fractional Hermite–Hadamard–Noor Inequalities Via n-Polynomial Preinvex Functions An Approach of Locally Convex and Barrelled Spaces Over an Arbitrary Field Equipped with a Valuation, Without Using “Convex” but Utilizing “Absolutely Convex” Random Stability of a System of Functional Equations Multi-quintic Mappings and Their Stability On Classical Orthogonal Polynomials on Lattices and Some Characterization Theorems A Closed-Loop Supply Chain Network Model for the Provision of 5G Services with UAVs and Trustworthiness Investments Kuratowski’s Topology in b-Metric Spaces Cube-Free Values of [nc tanθ (log n)] Some Inequalities of Trapezoid Type for Double Integral Mean of Absolutely Continuous Functions Mathematical Models and Advancements in Cardiac Hemodynamics Lyusternik–Schnirelmann Theory for Weighted Sobolev Spaces On the Stochastic Properties of Birth-Death Circuit Chains for a Generalized Sample Path Case Recurrent Neural Networks for Solving Time-Varying Linear Optimization Problems Solution Estimates and Stability Conditions for Linear Differential Equations with Unbounded Operators in a Banach Space Numerical Solution of a Moving Boundary Problem Related to Phase Change Material On Approximation of Certain Modified Szász–Mirakyan Operators Certain Extension of Riemann–Liouville Fractional Derivative Operator by Using Wiman’s Function A Finite Element Scheme for an Initial Value Problem Norm Inequalities for Fractional Integral Operators in Banach Spaces Generalized Fractional Hilbert-type Integral Inequalities Hyers–Ulam–Rassias Stability of Additive (ρ1 , ρ2 )-Functional Inequalities and hom-Derivations in Banach Algebras An Additive (ρ1 , ρ2 )-Functional Inequality in Complex Banach Spaces The Effect of Two Exterior Masspoints on Bounds for Orthogonal Polynomials The Stability of a Functional Equation in Two Variables Static Nuel Games with Terminal Payoff Studying the Performance of LexOpt Algorithm for Unconstrained Optimization Strongly Biconvex Functions and Bivariational Inequalities System of General Variational Inclusions Higher-Order Bihemivariational Inequalities On the Ranking of Players in Network Games with Local Average A Two-Stage Game Theoretical Model of Social Interactions and Location Choice in City Areas On a Theorem of Miron Nicolescu: Proofs, Generalizations, and Applications to Zeros Separation of Some Special Functions Minimization of the Free Energy with an Expectation Constraint An Extended Hardy–Hilbert’s Integral Inequality with Internal Variables Involving Two Upper-Limit Functions Implicit Sequential Contractions in Partially Ordered Metric Spaces Equivalent Properties of Two Kinds of Hardy-Type Integral Inequalities with the General Non-homogeneous Kernel in the Whole Plane