| 書目名稱 | Inequalities Based on Sobolev Representations |
| 編輯 | George A. Anastassiou |
| 視頻video | http://file.papertrans.cn/465/464388/464388.mp4 |
| 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 |
| 叢書名稱 | SpringerBriefs in Mathematics |
| 圖書封面 |  |
| 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 |
| 關鍵詞 | 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 |