Details

Inequalities Based on Sobolev Representations

SpringerBriefs in Mathematics

von: George A. Anastassiou
50,28 €
Verlag:	Springer
Format:	PDF
Veröffentl.:	04.06.2011
ISBN/EAN:	9781461402015
Sprache:	englisch
Anzahl Seiten:	65

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Beschreibungen

Titelbeschreibung

Inequalities based on Sobolev Representations deals exclusively with very general tight integral inequalities of Chebyshev-Grüss, Ostrowski types and of integral means, all of which depend upon the Sobolev integral representations of functions. Applications illustrate inequalities that engage in ordinary and weak partial derivatives of the involved functions. This book also derives important estimates for the averaged Taylor polynomials and remainders of Sobolev integral representations. The results are examined in all directions and through both univariate and multivariate cases. This book is suitable for researchers, graduate students, and seminars in subareas of mathematical analysis, inequalities, partial differential equations and information theory.

Inhaltsverzeichnis

Part 1. -Univariate Integral Inequalities based on Sobolev representations.- Introduction.- Background. -Main Results. -Applications.- References. Part 2.- Multivariate Integral Inequalities deriving from Sobolev representations.-Introduction.-Background.-Main Results.- Applications, References.

Sonderbeitrag

First monograph to deal exclusively with very general tight integral inequalities of Chebyshev-Grüss, Ostrowski types and of comparison of integral means Advanced courses and seminars can be taught out of this book All necessary background and motivations are given in each chapter Suitable for researchers, graduate students, and seminars in subareas of mathematical analysis, inequalities, partial differential equations and information theory Includes supplementary material: sn.pub/extras