Полное описание

Anastassiou, G. A. Inequalities Based on Sobolev Representations : монография / by George A. Anastassiou. - New York, NY : Springer, 2011. - on-line. - (SpringerBriefs in Mathematics, ISSN 2191-8198). - URL: http://dx.doi.org/10.1007/978-1-4614-0201-5. - Загл. с экрана. - ISBN 978-1-4614-0201-5. - Текст : электронный.
Содержание:
 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.

ГРНТИ	УДК
27.23.15	517.16

Рубрики:
mathematics
functions of real variables
statistics
engineering design
mathematics
real Functions
statistics, general
engineering Design

Аннотация: 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.

http://dx.doi.org/10.1007/978-1-4614-0201-5

Держатели документа:
Государственная публичная научно-техническая библиотека России : 123298, г. Москва, ул. 3-я Хорошевская, д. 17 (Шифр в БД-источнике (KATBW): -132482467)

Шифр в сводном ЭК: 61734da94db65b183ab0fee7f502db2d

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