Topics in Mathematical Analysis and Applications [Paperback]

This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new results that have been obtained in the above mentioned disciplines in which Nonlinear Analysis plays a central role.

Some review papers published in this volume will be particularly useful for a broader readership in Mathematical Analysis, as well as for graduate students. An attempt is given to present all subjects in this volume in a unified and self-contained manner, to be particularly useful to the mathematical community.

Simple Proofs of Some BernsteinMordell Type Inequalities (V. Adiyasuren, Tserendorj Batbold).- Hilbert-Type Inequalities Including Some Operators, The Best Possible Constants and Applications: A survey (V. Adiyasuren, Tserendorj Batbold, M. Krni).- On the MazurUlam Theorem (M. Aghajani).- A Fixed Point Approach to Stability of the Quadratic Equation (M. Almahalebi, A. Charifi, S. Kabbaj, E. Elqorachi).- Aspects of Global Analysis of Circle-Valued Mappings (D. Andrica, D. Mangra, C. Pintea).- A Remark on Some Simultaneous Functional Inequalities in Riesz Spaces (B. Batko, J. Brzdk).- Elliptic Problems on the Sierpinski Gasket (B.E. Breckner, C. Varga).- Initial Value Problems in Linear Integral Operator Equations (L.P. Castro, M.M. Rodrigues, S. Saitoh).- Extension Operators that Preserve Geometric and Analytic Properties of Biholomorphic Mappings (T. Chiril).- Normal Cones and Thompson Metric (^. Cobza_, M.-D. Rus).- Functional Operators and Approximate Solutions of Functional Equations (S. Czerwik, K. Kr?l).- MarkovlC)