Contributions in Mathematics and Engineering
In Honor of Constantin Carathéodory

Editors: Panos M. Pardalos, Themistocles M. Rassias



Provides detailed results and examples making the presentation of the theory easily accessible to a wide readership

Presents applications with emphasis on equilibrium problems, complexity in numerical optimization, dynamical systems, non-smooth optimization, complex network analysis, statistical models and data mining, and energy systems

Review papers are particularly useful for a broad audience of readers

The contributions in this volume aim to deepen understanding of some of the current research problems and theories in modern topics such as calculus of variations, optimization theory, complex analysis, real analysis, differential equations, and geometry. Applications to these areas of mathematics are presented within the broad spectrum of research in Engineering Science with particular emphasis on equilibrium problems, complexity in numerical optimization, dynamical systems, non-smooth optimization, complex network analysis, statistical models and data mining, and energy systems. Additional emphasis is given to interdisciplinary research, although subjects are treated in a unified and self-contained manner. The presentation of methods, theory and applications makes this tribute an invaluable reference for teachers, researchers, and other professionals interested in pure and applied research, philosophy of mathematics, and mathematics education. Some review papers published in this volume will be particularly useful for a broader audience of readers as well as for graduate students who search for the latest information.   

Constantin Carathéodory’s wide-ranging influence in the international mathematical community was seen during the first Fields Medals awards at the International Congress of Mathematicians, Oslo, 1936. Two medals were awarded, one to Lars V. Ahlfors and one to Jesse Douglass. It was Carathéodory who presented both their works during the opening of the International Congress. This volume contains significant papers in Science and Engineering dedicated to the memory of Constantin Carathéodory and the spirit of his mathematical influence.      


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完整目录（共31章）：

Applications of Quasiconvexity

Taylor’s Formula and Integral Inequalities for Conformable Fractional Derivatives

Sobolev-Type Inequalities on Manifolds in the Presence of Symmetries and Applications

Generalized Minkowski Functionals

A Network Design Model Under Uncertainty

Optimal Rational Approximation Number Sets: Application to Nonlinear Dynamics in Particle Accelerators

A Characterization Theorem for the Best

Supermeasures Associated to Some Classical Inequalities

Remarks on Solutions of a Functional Equation Arising from an Asymmetric Switch

Hyers–Ulam Stability of Wilson’s Functional Equation

The General Sampling Theory by Using Reproducing Kernels

Kronecker’s Products and Kronecker’s Sums of Operators

Effective Conductivity and Critical Properties of a Hexagonal Array of Superconducting Cylinders

A Survey on Durrmeyer-Type Operators

On the Imaginary Part of the Nontrivial Zeros of the Riemann Zeta Function

The Ubiquitous Lambert Function and its Classes in Sciences and Engineering

A Computational Approach to the Unwrappings of the Developable Surfaces

Multiple Weighted Orlicz Spaces and Applications

Hyers–Ulam–Rassias Stability on Amenable Groups

Closed-Form Solution of a LAN Gateway Queueing Model

Some Quantum Hermite–Hadamard-Type Inequalities for General Convex Functions

General Harmonic Convex Functions and Integral Inequalities

Extension Operator Method for the Exact Solution of Integro-Differential Equations

Fixed Point Structures, Invariant Operators, Invariant Partitions, and Applications to Carathéodory Integral Equations

On the Best Hyers–Ulam Stability Constants for Some Equations and Operators

More on the Metric Projection onto a Closed Convex Set in a Hilbert Space

Carathéodory Functions in Partial Differential Equations

Basic Tools, Increasing Functions, and Closure Operations in Generalized Ordered Sets

Addition-Like Variational Principles in Asymmetric Spaces

Compositional Yang-Hilbert-Type Integral Inequalities and Operators

Opial Inequalities Involving Higher-Order Partial Derivatives