书目名称 | Inequalities Based on Sobolev Representations |
编辑 | George A. Anastassiou |
视频video | |
概述 | First monograph to deal exclusively with very general tight integral inequalities of Chebyshev-Grüss, Ostrowski types and of comparison of integral means.Advanced courses and seminars can be taught ou |
丛书名称 | SpringerBriefs in Mathematics |
图书封面 |  |
描述 | .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. . |
出版日期 | Book 2011 |
关键词 | Information Theory; Integral Inequalities; Ostrowski Inequality; Sobolev Representations; Weak Derivativ |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4614-0201-5 |
isbn_softcover | 978-1-4614-0200-8 |
isbn_ebook | 978-1-4614-0201-5Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
issn_series | 2191-8198 |
copyright | George A. Anastassiou 2011 |