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Bibliographische Daten des bestpassenden Buches

Details zum Buch

Detailangaben zum Buch - Inequalities Based on Sobolev Representations


EAN (ISBN-13): 9781461402015
Erscheinungsjahr: 2011
Herausgeber: Springer New York

Buch in der Datenbank seit 2007-05-31T17:58:33+02:00 (Vienna)
Detailseite zuletzt geändert am 2020-11-09T17:57:30+01:00 (Vienna)
ISBN/EAN: 9781461402015

ISBN - alternative Schreibweisen:
978-1-4614-0201-5
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: energy economics, 978 06709211607
Titel des Buches: inequalities, sobolev


Daten vom Verlag:

Autor/in: George A. Anastassiou
Titel: SpringerBriefs in Mathematics; Inequalities Based on Sobolev Representations
Verlag: Springer; Springer US
65 Seiten
Erscheinungsjahr: 2011-06-04
New York; NY; US
Gedruckt / Hergestellt in Großbritannien.
Sprache: Englisch
50,28 € (DE)
51,70 € (AT)
72,00 CHF (CH)
Available
IX, 65 p.

EA; E107; eBook; Nonbooks, PBS / Mathematik/Analysis; Reelle Analysis, Real-Variablen; Verstehen; Information Theory; Integral Inequalities; Ostrowski Inequality; Sobolev Representations; Weak Derivative; C; Real Functions; Statistics, general; Engineering Design; Real Functions; Statistics; Engineering Design; Mathematics and Statistics; Wahrscheinlichkeitsrechnung und Statistik; Konstruktion, Entwurf; BC

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.

Inequalities based on Sobolev Representations

 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.

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



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