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Advanced inequalities

Anastassiou, George A., (1952-)

Advanced inequalities

Record Type:	Electronic resources : Monograph/item
Title/Author:	Advanced inequalitiesGeorge A. Anastassiou.
Author:	Anastassiou, George A.,
Published:	Singapore ;World Scientific Pub. Co.,c2011.
Description:	xii, 410 p.
Subject:	Inequalities (Mathematics)
Online resource:	http://www.worldscientific.com/worldscibooks/10.1142/7847#t=toc
ISBN:	9789814317634 (electronic bk.)

Advanced inequalities
Anastassiou, George A.,1952-

Advanced inequalities[electronic resource] /George A. Anastassiou. - Singapore ;World Scientific Pub. Co.,c2011. - xii, 410 p. - Series on concrete and applicable mathematics ;v. 11. - Series on concrete and applicable mathematics ;v. 7..

Includes bibliographical references (p. 395-406) and index.

This monograph presents univariate and multivariate classical analyses of advanced inequalities. This treatise is a culmination of the author's last thirteen years of research work. The chapters are self-contained and several advanced courses can be taught out of this book. Extensive background and motivations are given in each chapter with a comprehensive list of references given at the end. The topics covered are wide-ranging and diverse. Recent advances on Ostrowski type inequalities, Opial type inequalities, Poincare and Sobolev type inequalities, and Hardy-Opial type inequalities are examined. Works on ordinary and distributional Taylor formulae with estimates for their remainders and applications as well as Chebyshev-Gruss, Gruss and comparison of means inequalities are studied. The results presented are mostly optimal, that is the inequalities are sharp and attained. Applications in many areas of pure and applied mathematics, such as mathematical analysis, probability, ordinary and partial differential equations, numerical analysis, information theory, etc., are explored in detail, as such this monograph is suitable for researchers and graduate students. It will be a useful teaching material at seminars as well as an invaluable reference source in all science libraries.

Electronic reproduction.
Singapore :
World Scientific Publishing Co.,
2011.

System requirements: Adobe Acrobat Reader.

ISBN: 9789814317634 (electronic bk.)Subjects--Topical Terms:

183909
Inequalities (Mathematics)

LC Class. No.: QA295

Dewey Class. No.: 515.26

Advanced inequalities
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490 1 $a Series on concrete and applicable mathematics ; $v v. 11
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520 $a This monograph presents univariate and multivariate classical analyses of advanced inequalities. This treatise is a culmination of the author's last thirteen years of research work. The chapters are self-contained and several advanced courses can be taught out of this book. Extensive background and motivations are given in each chapter with a comprehensive list of references given at the end. The topics covered are wide-ranging and diverse. Recent advances on Ostrowski type inequalities, Opial type inequalities, Poincare and Sobolev type inequalities, and Hardy-Opial type inequalities are examined. Works on ordinary and distributional Taylor formulae with estimates for their remainders and applications as well as Chebyshev-Gruss, Gruss and comparison of means inequalities are studied. The results presented are mostly optimal, that is the inequalities are sharp and attained. Applications in many areas of pure and applied mathematics, such as mathematical analysis, probability, ordinary and partial differential equations, numerical analysis, information theory, etc., are explored in detail, as such this monograph is suitable for researchers and graduate students. It will be a useful teaching material at seminars as well as an invaluable reference source in all science libraries.
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650 0 $a Opial inequalities. $3 575347
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