دانلود کتاب نظریه تقریب و نابرابری های تحلیلی

Approximation Theory and Analytic Inequalities focuses on various important areas of Mathematics in which approximation methods play an essential role. Of course, since inequalities are of integral importance for the investigation of approximation and optimization problems, this volume also features cutting-edge research on a wide spectrum of analytic inequalities with emphasis on differential and integral inequalities in the spirit of functional analysis, operator theory, nonlinear analysis, and variational calculus, featuring a plethora of applications. In particular, in this volume the reader will be exposed to the important areas of research such as convexity theory, polynomial inequalities, extremal problems, prediction theory, fixed point theory for operators, PDEs, fractional integral inequalities, multidimensional numerical integration, Gauss–Jacobi and Hermite–Hadamardtype inequalities, Hilbert-type inequalities, as well as Ulam’s stability of functional equations. This publication provides significant and up-to-date information and several research results, which could be found useful to a wide readership including graduate students and researchers working in Mathematics, Physics, Economics, Operational Research, and their interconnections. The contributed book chapters have been written by eminent researchers in their corresponding fields. The discussion of concepts, theories, problems, and methods featured in this publication makes it an invaluable reference source. It is our pleasure to express our thanks to all of the contributors in this book who participated in this collective effort. Last but not least, we would like to acknowledge the superb assistance that the Springer staff has provided for this publication.