Inequalities based on Sobolev representations [Documento eletrónico] / George A. Anastassiou
Language: eng.Country: US - United States of America.Publication: New York, NY : Springer , 2011Description: IX, 65 p.ISBN: 978-1-4614-0201-5.Series: SpringerBriefs in MathematicsSubject - Topical Name: 25774Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA323.SPR FCT 81310 (Browse shelf(Opens below)) | 1 | Available |
Colocação: Online
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.
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