Inequalities Based on Sobolev Representations

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 o...

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Detalles Bibliográficos
Autor principal: Anastassiou, George A. (-)
Autor Corporativo: SpringerLink (-)
Formato: Libro electrónico
Idioma:Inglés
Publicado: New York, NY : Springer New York 2011.
Colección:SpringerBriefs in Mathematics.
Springer eBooks.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b32909536*spi
Descripción
Sumario: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.
Descripción Física:IX, 65 p.
Formato:Forma de acceso: World Wide Web.
ISBN:9781461402015