Inequalities Based on Sobolev Representations (Paperback)

George A. Anastassiou

ISBN 10: 146140200X / ISBN 13: 9781461402008

Edité par Springer-Verlag New York Inc., New York, NY, 2011

A propos de cet article

Paperback. Inequalities based on Sobolev Representations deals exclusively with very general tight integral inequalities of Chebyshev-Gruess, 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. Inequalities based on Sobolev Representations deals exclusively with very general tight integral inequalities of Chebyshev-Gruess, Ostrowski types and of integral means, all of which depend upon the Sobolev integral representations of functions. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

N° de réf. du vendeur 9781461402008

Détails bibliographiques

• Titre: Inequalities Based on Sobolev Representations (Paperback)
• Éditeur: Springer-Verlag New York Inc., New York, NY
• Date de parution: 2011
• Langue: anglais
• ISBN à 10 chiffres: 146140200X
• ISBN à 13 chiffres: 9781461402008
• Reliure: Paperback
• État de l'article: new

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Synopsis

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Présentation de l'éditeur

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.