Mathematical Analysis, Optimization, Approximation And Applications

The comprehensive volume focuses on both research and survey papers presenting results in a broad spectrum of subjects in pure and applied mathematics, such as in approximation theory, optimization and their applications. Topics within this book include Sobolev spaces, Banach spaces, locally convex spaces, integral operators, Szasz-Mirakyan operators, to name a few. This useful reference text benefits professionals, academics, graduate students and advanced research scientists in theoretical computer science, computer mathematics and general applied mathematics. Effort was also made for the content to constitute a reference source for researchers in physics and engineering.

Panos M Pardalos serves as Professor Emeritus of industrial and systems engineering at the University of Florida. Additionally, he is the Paul and Heidi Brown Preeminent Professor of industrial and systems engineering. He is also an affiliated faculty member of the Computer and Information Science Department, the Hellenic Studies Center, and the biomedical engineering program, as well as the Director of the Center for Applied Optimization. Pardalos is a world-leading expert in global and combinatorial optimization. His recent research interests include network design problems, optimization in telecommunications, e-commerce, data mining, biomedical applications and massive computing.

Themistocles M Rassias is Professor at the National Technical University of Athens, Greece. He has published more than 300 papers, 10 research books and 45 edited volumes in research Mathematics as well as four textbooks in Mathematics (in Greek) for university students. He serves as a member of the Editorial Board of several international mathematical journals. His work extends over several fields of mathematical analysis. It includes nonlinear functional analysis, functional equations, approximation theory, analysis on manifolds, calculus of variations, inequalities, metric geometry and their applications. He has contributed a number of results in the stability of minimal submanifolds, in the solution of Ulam's Problem for approximate homomorphisms in Banach spaces, in the theory of isometric mappings in metric spaces and in complex analysis (Poincaré's inequality and harmonic mappings).