Inequalities based on Sobolev representations
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Author
Publication
2011 - Springer, New York, New York (State)
Language
English
Word Count
16,250 words, Guess
Page Count
65 pages
Identifiers
- Open LibraryOL25173457M
- ISBN-139781461402008
- ISBN-10146140200X
- OCLC Control Number731919989
- OCLC Control Numberinequalitiesbase00gana
and 1 more
- Library of Congress Control Number2011929870
Classifications
- DDC515/.782
- LCCQA323 .A53 2011
Description
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.
Subjects
Series Statement
- SpringerBriefs in mathematics
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