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EAN (ISBN-13): 9781461402015
Date de parution: 2011
Editeur: Springer New York

Livre dans la base de données depuis 2007-05-31T17:58:33+02:00 (Zurich)
Page de détail modifiée en dernier sur 2020-11-09T17:57:30+01:00 (Zurich)
ISBN/EAN: 9781461402015

ISBN - Autres types d'écriture:
978-1-4614-0201-5
Autres types d'écriture et termes associés:
Auteur du livre: energy economics, 978 06709211607
Titre du livre: inequalities, sobolev


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: 2011-06-04
New York; NY; US
Langue: Anglais
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; 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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