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OverviewInequalities 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. Full Product DetailsAuthor: George A. AnastassiouPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2011 Volume: 2 Dimensions: Width: 15.50cm , Height: 0.40cm , Length: 23.50cm Weight: 0.454kg ISBN: 9781461402008ISBN 10: 146140200 Pages: 65 Publication Date: 08 July 2011 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Awaiting stock ![]() The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you. Table of ContentsPart 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |