Inequalities Based on Sobolev Representations book

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Inequalities Based on Sobolev Representations book

Inequalities Based on Sobolev Representations by George A Anastassiou

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Author: George A Anastassiou
Number of Pages: 74 pages
Published Date: 01 Jul 2011
Publisher: Springer-Verlag New York Inc.
Publication Country: New York, NY, United States
Language: English
Type: Pdf
ISBN: 9781461402008
File size: 21 Mb
File Name: inequalities.based.on.sobolev.representations.pdf
Download Link: inequalities based on sobolev representations
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Inequalities based on Sobolev Representations deals exclusively with very general tight integral inequalities of Chebyshev-Gruss, 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.

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