Inequalities Based on Sobolev Representations [recurso electrónico] / by George A. Anastassiou.

Por: Anastassiou, George A [author.]Colaborador(es): SpringerLink (Online service)Tipo de material: Texto

TextoSeries SpringerBriefs in MathematicsEditor: New York, NY : Springer New York, 2011Descripción: IX, 65p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9781461402015Tema(s): Mathematics | Statistics | Engineering design | Mathematics | Real Functions | Statistics, general | Engineering DesignFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 515.8 Clasificación LoC:QA331.5Recursos en línea: Libro electrónico Texto

Contenidos:

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.

En: Springer eBooksResumen: 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.

Existencias ( 1 )
Notas de título ( 3 )

Existencias
Tipo de ítem	Biblioteca actual	Colección	Signatura	Copia número	Estado	Fecha de vencimiento	Código de barras
Libro Electrónico	Biblioteca Electrónica	Colección de Libros Electrónicos	QA331.5 (Browse shelf(Abre debajo))	1	No para préstamo		372394-2001

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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.