ENGLISH

Inequalities Based on Sobolev Representations

By George A. Anastassiou (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2011
ISBN
146140200X, 9781461402008
DOI
10.1007/978-1-4614-0201-5
ISSN
2191-8198
LCC
QA323 .A53 2011
Open Library ID
OL25173457M
Language
english
Format
PDF
Filesize
483 kB (495011 bytes)
Series
SpringerBriefs in Mathematics
Edition
1
Pages
65\76
Orientation
yes
Scanned
no
Time added
2012-02-14 18:00:00
general; Engineering DesignReal Functions; Statistics

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.

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