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Inequalities Based on Sobolev Representations by George A. Anastassiou Paperback | Indigo Chapters
Auteur:
Titre:
ISBN:

9781461402008


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.

Informations détaillées sur le livre - Inequalities Based on Sobolev Representations by George A. Anastassiou Paperback | Indigo Chapters


EAN (ISBN-13): 9781461402008
ISBN (ISBN-10): 146140200X
Version reliée
Livre de poche
Date de parution: 2011
Editeur: George A. Anastassiou
66 Pages
Poids: 0,133 kg
Langue: Englisch

Livre dans la base de données depuis 2009-11-24T09:39:47+01:00 (Zurich)
Page de détail modifiée en dernier sur 2023-08-10T20:56:39+02:00 (Zurich)
ISBN/EAN: 9781461402008

ISBN - Autres types d'écriture:
1-4614-0200-X, 978-1-4614-0200-8
Autres types d'écriture et termes associés:
Auteur du livre: ostrowski
Titre du livre: sobolev, inequalities, springer mathematics

Données de l'éditeur

Auteur: George A. Anastassiou
Titre: SpringerBriefs in Mathematics; Inequalities Based on Sobolev Representations
Editeur: Springer; Springer US
65 Pages
Date de parution: 2011-07-08
New York; NY; US
Imprimé / Fabriqué en
Langue: Anglais
53,45 € (DE)
54,95 € (AT)
72,14 CHF (CH)
POD
IX, 65 p.

BC; Hardcover, Softcover / Mathematik/Analysis; Reelle Analysis, Real-Variablen; Verstehen; Information Theory; Integral Inequalities; Ostrowski Inequality; Sobolev Representations; Weak Derivative; 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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