Inequalities based on sobolev representations [electronic resource]
- 作者： Anastassiou, George A., 1952-
- 其他作者：
- 出版： New York, NY : Springer Science+Business Media, LLC
- 叢書名： SpringerBriefs in mathematics,
- 主題： Sobolev spaces , Mathematics , Real Functions. , Statistics, general. , Engineering design
- ISBN： 9781461402015 (electronic bk.) 、 9781461402008 (paper)
-
FIND@SFXID:
CGU
- 資料類型: 電子書
-
讀者標籤：
- 系統號： 005070740 | 機讀編目格式
館藏資訊
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.