Inequalities based on Sobolev representations
By: George A. Anastassiou
Series: SpringerBriefs in mathematics; SpringerBriefs in mathematics
Publisher: Springer
Published: 2011
Place of publication: New York
Language: eng
Number of pages: 65
ISBN-13: 9781461402008; 9781461402015
Subjects: Sobolev spaces
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.
Notes: Includes bibliographical references.