Mathematical inequalities [electronic resource] / B.G. Pachpatte.

By: Pachpatte, B. GMaterial type: Text

TextSeries: North-Holland mathematical library ; v. 67.Publication details: Amsterdam ; Boston : Elsevier, 2005. Edition: 1st edDescription: 1 online resource (xi, 591 p.)ISBN: 9780444517951; 0444517952; 0080459390 (electronic bk.); 9780080459394 (electronic bk.)Subject(s): Inequalities (Mathematics) | MATHEMATICS -- Algebra -- Elementary | Inequalities (Mathematics)Genre/Form: Electronic books.Additional physical formats: Print version:: Mathematical inequalities.DDC classification: 512.9/7 LOC classification: QA295 | .P265 2005ebOnline resources: ScienceDirect | Volltext

Contents:

Preface. -- Introduction. -- 1. Inequalities Involving Convex Functions. -- 2. Inequalities Related to Hardys Inequality. -- 3. Opial-Type Inequalities. -- 4. Poinca�r- and Sobolev-Type Inequalities. -- 5. Levin- and Lyapunov-type Inequalities. -- Reference. -- Index.

Summary: 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 other branches of mathematics. * Each chapter ends with some miscellaneous inequalities for futher study. * The work will be of interest to researchers working both in pure and applied mathematics, and it could also be used as the text for an advanced graduate course.

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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 other branches of mathematics. * Each chapter ends with some miscellaneous inequalities for futher study. * The work will be of interest to researchers working both in pure and applied mathematics, and it could also be used as the text for an advanced graduate course.

Includes bibliographical references (p. 565-587) and index.

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