Inequalities Based on Sobolev Representations
Buch in deiner Nähe kaufen
Beschreibung
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.
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 out of this book All necessary background and motivations are given in each chapter Suitable for researchers, graduate students, and seminars in subareas of mathematical analysis, inequalities, partial differential equations and information theory Includes supplementary material: sn.pub/extras
Autor*in
George A. Anastassiou
Themen in »Inequalities Based on Sobolev Representations«
Information Theory Integral Inequalities Ostrowski Inequality Sobolev Representations Weak Derivative