Inequalities Based on Sobolev Representations

By:

George A. Anastassiou

Format:

Paperback / softback

Series:

Springerbriefs in Mathematics

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Description

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.

Release date NZ

July 8th, 2011

Author

George A. Anastassiou

Audience

Professional & Vocational

Illustrations

IX, 65 p.

Pages

Series

Springerbriefs in Mathematics

Dimensions

156x234x4

ISBN-13

9781461402008

Product ID

10817422

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