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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
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