00000cmm a22000004a 4500 UP-99796217611212368 Buklod 20250205110515.0 m go j cr |nu|||auu|a 250205s2011 xxu o j eng d 9781461402015 (eBook) 1461402018 (eBook) (iLib)UPD-00215704130 DMLR rda. eng DMLUC QA 323 A53 2011eb Anastassiou, George A. 1952- author. Inequalities based on sobolev representations [electronic resource] George A. Anastassiou. New York, New York Springer New York 2011. 1 online resource (ix, 65 pages) text rdacontent computer rdamedia online resource rdacarrier SpringerBriefs in mathematics.  Part 1. -Univariate Integral Inequalities based on Sobolev representations -- Introduction -- Background. -Main Results. -Applications -- References.  Part 2 -- Multivariate Integral Inequalities deriving from Sobolev representations.-Introduction.-Background.-Main Results -- Applications, References IP-based subscription, access limited to within on-campus computer network. Access via Electronic Resources of the UPD University Library Website 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. Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink. Sobolev spaces. Mathematics. SpringerLink (Online service). Electronic Resource Available for UP System via SpringerLink. https://doi.org/10.1007/978-1-4614-0201-5 FO UPD DMLR QA 323 A53 2011eb Electronic Resource