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Catalogue Information
Field name	Details
Dewey Class	515.8
Title	Inequalities Based on Sobolev Representations ([Ebook]) / by George A. Anastassiou.
Author	Anastassiou, George A. , 1952-
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer New York , 2011
Physical Details	IX, 65 pages : online resource.
Series	SpringerBriefs in Mathematics 2191-8198
ISBN	9781461402015
Summary Note	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.:
Contents note	Â Part 1. -Univariate Integral Inequalities based on Sobolev representations -- Introduction -- Background. -Main Results. -Applications -- References.Â Part 2 -- Multivariate Integral Inequalities deriving from Sobolev representations.-Introduction.-Background.-Main Results -- Applications, References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4614-0201-5
Links to Related Works	Subject References: Engineering Design . Inequalities (Mathematics) . Real Functions . Sobolev spaces . Statistics . Statistics, general . Authors: Anastassiou, George A. 1952- . Corporate Authors: SpringerLink (Online service) . Series: SpringerBriefs in Mathematics . Classification: 515.8 . 515.8 (DDC 23) .

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Inequalities Based on Sobolev Representations

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