Survey on Classical Inequalities

Survey on Classical Inequalities

by Themistocles Rassias
     
 

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This volume provides a study of some of the well-known inequalities in classical mathematical analysis. Subjects dealt with include: Hardy-Littlewood-type inequalities, Hardy's and Carleman's inequalities, Lyapunov inequalities, Shannon's and related inequalities, generalised Shannon functional inequality, operator inequalities associated with Jensen's inequality,

Overview

This volume provides a study of some of the well-known inequalities in classical mathematical analysis. Subjects dealt with include: Hardy-Littlewood-type inequalities, Hardy's and Carleman's inequalities, Lyapunov inequalities, Shannon's and related inequalities, generalised Shannon functional inequality, operator inequalities associated with Jensen's inequality, weighted Lp-norm inequalities in convolutions, Heyers-Ulam stability of functional equations in connection with classical inequalities, inequalities for polynomial zeros, as well as applications in a number of problems of pure and applied mathematics.
Audience: This book will be of interest to mathematicians and graduate students whose work involves real functions, functions of a complex variable, functional analysis, approximation theory, numerical analysis, and other subjects of mathematical analysis.

Editorial Reviews

Booknews
Provides a study of some of the well-known inequalities in classical mathematical analysis. Examines Hardy-Littlewood-type inequalities, Hardy's and Carleman's inequalities, Lyapunov inequalities, and Shannon's and related inequalities. Explores operator inequalities associated with Jensen's inequality, Hyers-Ulam stability of functional equations in connection with classical inequalities, inequalities for polynomial zeros, and applications in a number of problems of pure and applied mathematics. Rassias teaches mathematics at the National Technical University of Athens, Greece. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Product Details

ISBN-13:
9789401058681
Publisher:
Springer Netherlands
Publication date:
12/31/2013
Series:
Mathematics and Its Applications (closed) Series, #517
Edition description:
Softcover reprint of the original 1st ed. 2000
Pages:
237
Product dimensions:
6.30(w) x 9.45(h) x 0.52(d)

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