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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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