UID:
almahu_9947367642502882
Format:
1 online resource (606 p.)
Edition:
1st ed.
ISBN:
1-280-63394-8
,
9786610633944
,
0-08-045939-0
Series Statement:
North-Holland mathematical library, v. 67
Content:
The book addresses many important new developments in the field. All the topics covered are of great interest to the readers because such inequalities have become a major tool in the analysis of various branches of mathematics.* It contains a variety of inequalities which find numerous applications in various branches of mathematics.* It contains many inequalities which have only recently appeared in the literature and cannot yet be found in other books.* It will be a valuable reference for someone requiring a result about inequalities for use in some applications in various o
Note:
Description based upon print version of record.
,
front cover; copyright; front matter; Preface; table of contents; Introduction; body; 1. Inequalities Involving Convex Functions; 1.1 Introduction; 1.2 Jensen's and Related Inequalities; 1.3 Jessen's and Related Inequalities; 1.4 Some General Inequalities Involving Convex Functions; 1.5 Hadamard's Inequalities; 1.6 Inequalities of Hadamard Type I; 1.7 Inequalities of Hadamard Type II; 1.8 Some Inequalities Involving Concave Functions; 1.9 Miscellaneous Inequalities; 1.10 Notes; 2. Inequalities Related to Hardy's Inequality; 2.1 Introduction
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2.2 Hardy's Series Inequality and Its Generalizations2.3 Series Inequalities Related to Those of Hardy, Copson and Littlewood; 2.4 Hardy's Integral Inequality and Its Generalizations; 2.5 Further Generalizations of Hardy's Integral Inequality; 2.6 Hardy-Type Integral Inequalities; 2.7 Multidimensional Hardy-Type Inequalities; 2.8 Inequalities Similar to Hilbert's Inequality; 2.9 Miscellaneous Inequalities; 2.10 Notes; 3. Opial-Type Inequalities; 3.1 Introduction; 3.2 Opial-Type Integral Inequalities; 3.3 Wirtinger-Opial-Type Integral Inequalities
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3.4 Inequalities Related to Opial's Inequality3.5 General Opial-Type Integral Inequalities; 3.6 Opial-Type Inequalities Involving Higher-Order Derivatives; 3.7 Opial-Type Inequalities in Two and Many Independent Variables; 3.8 Discrete Opial-Type Inequalities; 3.9 Miscellaneous Inequalities; 3.10 Notes; 4. Poincaré- and Sobolev-Type Inequalities; 4.1 Introduction; 4.2 Inequalities of Poincaré, Sobolev and Others; 4.3 Poincaré- and Sobolev-Type Inequalities I; 4.4 Poincaré- and Sobolev-Type Inequalities II; 4.5 Inequalities of Dubinskii and Others; 4.6 Poincaré- and Sobolev-Like Inequalities
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4.7 Some Extensions of Rellich's Inequality4.8 Poincaré- and Sobolev-Type Discrete Inequalities; 4.9 Miscellaneous Inequalities; 4.10 Notes; 5. Levin- and Lyapunov-Type Inequalities; 5.1 Introduction; 5.2 Inequalities of Levin and Others; 5.3 Levin-Type Inequalities; 5.4 Inequalities Related to Lyapunov's Inequality; 5.5 Extensions of Lyapunov's Inequality; 5.6 Lyapunov-Type Inequalities I; 5.7 Lyapunov-Type Inequalities II; 5.8 Lyapunov-Type Inequalities III; 5.9 Miscellaneous Inequalities; 5.10 Notes; back matter; References; Index
,
English
Additional Edition:
ISBN 0-444-51795-2
Language:
English
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