Authors:
- 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
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (2 chapters)
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Front Matter
About this book
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.
Authors and Affiliations
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Dept. Mathematical Sciences, University of Memphis, Memphis, USA
George A. Anastassiou
Bibliographic Information
Book Title: Inequalities Based on Sobolev Representations
Authors: George A. Anastassiou
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-1-4614-0201-5
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: George A. Anastassiou 2011
Softcover ISBN: 978-1-4614-0200-8Published: 08 July 2011
eBook ISBN: 978-1-4614-0201-5Published: 04 June 2011
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: IX, 65
Topics: Real Functions, Statistics, general, Engineering Design