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Approximation by Multivariate Singular Integrals - Livres de poche

2011, ISBN: 9781461405887

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Approximation by Multivariate Singular Integrals

Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identity-unit operator. The basic approximation properties of the general multivariate singular integral operators is presented quantitatively, particularly special cases such as the multivariate Picard, Gauss-Weierstrass, Poisson-Cauchy and trigonometric singular integral operators are examined thoroughly. This book studies the rate of convergence of these operators to the unit operator as well as the related simultaneous approximation. The last chapter, which includes many examples, presents a related Korovkin type approximation theorem for functions of two variables.   Relevant background information and motivation is included in this exposition, and as a result this book can be used as supplementary text for several advanced courses. The results presented apply to many areas of pure and applied mathematics, such a mathematical analysis, probability, statistics and partial differential equations.  This book is appropriate for researchers and selected seminars at the graduate level.

Informations détaillées sur le livre - Approximation by Multivariate Singular Integrals


EAN (ISBN-13): 9781461405887
ISBN (ISBN-10): 1461405882
Version reliée
Livre de poche
Date de parution: 2011
Editeur: Springer-Verlag New York Inc.
79 Pages
Poids: 0,152 kg
Langue: Englisch

Livre dans la base de données depuis 2007-01-24T03:59:15+01:00 (Zurich)
Page de détail modifiée en dernier sur 2024-03-23T23:19:23+01:00 (Zurich)
ISBN/EAN: 1461405882

ISBN - Autres types d'écriture:
1-4614-0588-2, 978-1-4614-0588-7
Autres types d'écriture et termes associés:
Auteur du livre: george, korovkin
Titre du livre: singular selves, singular integrals, approximation, multivariate, springer mathematics


Données de l'éditeur

Auteur: George A. Anastassiou
Titre: SpringerBriefs in Mathematics; Approximation by Multivariate Singular Integrals
Editeur: Springer; Springer US
79 Pages
Date de parution: 2011-07-25
New York; NY; US
Imprimé / Fabriqué en
Langue: Anglais
53,45 € (DE)
54,95 € (AT)
72,14 CHF (CH)
POD
X, 79 p.

BC; Hardcover, Softcover / Mathematik/Analysis; Integralrechnung und -gleichungen; Verstehen; Gauss-Weierstrass; Korovkin type approximation theorem; Voronovskaya type; multivariate singular integrals; partial differential equations; Integral Transforms and Operational Calculus; Differential Equations; Probability Theory; Differentialrechnung und -gleichungen; Wahrscheinlichkeitsrechnung und Statistik; Stochastik; EA

-1. Uniform Approximation by General Multivariate Singular Integral Operators(Introduction, Main Results, Applications, References). -2. Approximation by General Multivariate Singular Integral Operators(Introduction, Main Results, Applications, References). -3. Global Smoothness Preservation and Simultaneous Approximation by Multivariate General Singular Integrals(Introduction, Main Results, Applications, References). -4. Multivariate Voronovskaya Asymptotic Expansions for General Singular Integrals (Introduction, Main Results, Applications, References).-5. Simultaneous Approximation by Multivariate Complex General Singular Integrals (Introduction, Main Results, Applications, References). -6. Approximation of Functions of Two Variables via Almost Convergence of Double Sequences (Introduction and Preliminaries, Korovkin type approximation theorem, Some consequences, References).


First monograph to deal exclusively with the study of the approximation of multivariate singular integrals to the identity-unit operator Quantitatively studies the basic approximation properties of the general multivariate singular integral operators, special cases of which are the multivariate Picard, Gauss-Weierstrass, Poisson-Cauchy and trigonometric singular integral operators, etc. Results presented are expected to find applications in many areas of pure and applied mathematics, such as mathematical analysis, probability, statistics and partial differential equations, etc.

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