Inequalities Based on Sobolev Representations

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 or...

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书目详细资料
主要作者: Anastassiou, George A. (Author, http://id.loc.gov/vocabulary/relators/aut)
企业作者: SpringerLink (Online service)
格式: 电子 电子书
语言:English
出版: New York, NY : Springer New York : Imprint: Springer, 2011.
版:1st ed. 2011.
丛编:SpringerBriefs in Mathematics,
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在线阅读:https://doi.org/10.1007/978-1-4614-0201-5
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实物特征
总结: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.
实物描述:IX, 65 p. online resource.
ISBN:9781461402015
ISSN:2191-8198