Survey on classical inequalities

by Themistocles M. Rassias

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.

「Nielsen BookData」より

[目次]

  • Preface. Lyapunov Inequalities and their Applications
  • R.C. Brown, D.B. Hinton. Classical Hardy's and Carleman's Inequalities and Mixed Means
  • A. Cizmesija, J. Pecaric. Operator Inequalities Associated with Jensen's Inequality
  • F. Hansen. Hardy-Littlewood-type Inequalities and their Factorized Enhancement
  • L. Leindler. Shannon's and Related Inequalities in Information Theory
  • M. Matic, C.E.M. Pearce, J. Pecaric. Inequalities for Polynomial Zeros
  • G.V. Milovanovic, T.M. Rassias. On Generalized Shannon Functional Inequality and its Applications
  • P.K. Sahoo. Weighted Lp-norm Inequalities in Convolutions
  • S. Saitoh. Index. List of Tables: Table 1. Sample Table. Table 2. Sample table caption. Table 3. Sample Table. Table 4. Sample table caption.

「Nielsen BookData」より

この本の情報

書名 Survey on classical inequalities
著作者等 Rassias, Themistocles M.
シリーズ名 Mathematics and its applications
出版元 Kluwer Academic
刊行年月 c2000
ページ数 vii, 237 p.
大きさ 25 cm
ISBN 079236483X
NCID BA47680966
※クリックでCiNii Booksを表示
言語 英語
出版国 オランダ
この本を: 
このエントリーをはてなブックマークに追加

このページを印刷

外部サイトで検索

この本と繋がる本を検索

ウィキペディアから連想