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Details zum Buch
Inequalities Based on Sobolev Representations by George A. Anastassiou Paperback | Indigo Chapters

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.

Detailangaben zum Buch - Inequalities Based on Sobolev Representations by George A. Anastassiou Paperback | Indigo Chapters


EAN (ISBN-13): 9781461402008
ISBN (ISBN-10): 146140200X
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2011
Herausgeber: George A. Anastassiou
66 Seiten
Gewicht: 0,133 kg
Sprache: Englisch

Buch in der Datenbank seit 2009-11-24T09:39:47+01:00 (Vienna)
Detailseite zuletzt geändert am 2023-08-10T20:56:39+02:00 (Vienna)
ISBN/EAN: 9781461402008

ISBN - alternative Schreibweisen:
1-4614-0200-X, 978-1-4614-0200-8
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: ostrowski
Titel des Buches: sobolev, inequalities, springer mathematics


Daten vom Verlag:

Autor/in: George A. Anastassiou
Titel: SpringerBriefs in Mathematics; Inequalities Based on Sobolev Representations
Verlag: Springer; Springer US
65 Seiten
Erscheinungsjahr: 2011-07-08
New York; NY; US
Gedruckt / Hergestellt in Niederlande.
Gewicht: 0,454 kg
Sprache: Englisch
53,45 € (DE)
54,95 € (AT)
72,14 CHF (CH)
POD
IX, 65 p.

BC; Real Functions; Hardcover, Softcover / Mathematik/Analysis; Reelle Analysis, Real-Variablen; Verstehen; Information Theory; Integral Inequalities; Ostrowski Inequality; Sobolev Representations; Weak Derivative; Statistics, general; Engineering Design; Real Functions; Statistics; Engineering Design; Wahrscheinlichkeitsrechnung und Statistik; Konstruktion, Entwurf; EA

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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