Inequalities Based on Sobolev Representations [electronic resource] / by George A. Anastassiou.
Tipo de material: TextoSeries SpringerBriefs in Mathematics | SpringerBriefs in MathematicsEditor: New York, NY : Springer New York, 2011Descripción: IX, 65p. online resourceTipo de contenido:- text
- computer
- online resource
- 9781461402015
- SpringerLink (Online service)
- 515.8 23
- QA331.5
Part 1. -Univariate Integral Inequalities based on Sobolev representations -- Introduction -- Background. -Main Results. -Applications -- References. Part 2 -- Multivariate Integral Inequalities deriving from Sobolev representations.-Introduction.-Background.-Main Results -- Applications, References.
Inequalities based on Sobolev Representations deals exclusively with very general tight integral inequalities of Chebyshev-Grȭss, Ostrowski types and of integral means, all of which depend upon the Sobolev integral representations of functions. Applicationsillustrate 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.
ZDB-2-SMA
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