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.

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  • 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.

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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
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言語 英語
出版国 オランダ