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Approximation by Multivariate Singular Integrals - George A Anastassiou
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George A Anastassiou:

Approximation by Multivariate Singular Integrals - Paperback

2011, ISBN: 1461405882

[EAN: 9781461405887], Neubuch, [SC: 12.05], [PU: SPRINGER NATURE], MATHEMATICS; MATHEMATICS / DIFFERENTIAL EQUATIONS GENERAL; CALCULUS; PROBABILITY & STATISTICS MATHEMATICAL ANALYSIS, Dru… More...

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George A Anastassiou:

Approximation by Multivariate Singular Integrals - Paperback

2011, ISBN: 1461405882

[EAN: 9781461405887], Neubuch, [SC: 0.0], [PU: SPRINGER NATURE], MATHEMATICS; MATHEMATICS / DIFFERENTIAL EQUATIONS GENERAL; CALCULUS; PROBABILITY & STATISTICS MATHEMATICAL ANALYSIS, Druck… More...

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Approximation by Multivariate Singular Integrals by George A. Anastassiou Paperback | Indigo Chapters
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Approximation by Multivariate Singular Integrals by George A. Anastassiou Paperback | Indigo Chapters - new book

ISBN: 9781461405887

Approximation by Multivariate Singular Integralsis the first monograph to illustrate the approximation of multivariate singular integrals to the identity-unit operator. The basic approxim… More...

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Approximation by Multivariate Singular Integrals
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ISBN: 9781461405887

Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identity-unit operator. The basic approxi… More...

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Approximation by Multivariate Singular Integrals - George A. Anastassiou
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George A. Anastassiou:
Approximation by Multivariate Singular Integrals - Paperback

2011, ISBN: 9781461405887

Buch, Softcover, 2011 ed. [PU: Springer-Verlag New York Inc.], Springer-Verlag New York Inc., 2011

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Approximation by Multivariate Singular Integrals
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ISBN:

9781461405887


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.

Details of the book - Approximation by Multivariate Singular Integrals


EAN (ISBN-13): 9781461405887
ISBN (ISBN-10): 1461405882
Hardcover
Paperback
Publishing year: 2011
Publisher: Springer-Verlag New York Inc.
79 Pages
Weight: 0,152 kg
Language: Englisch

Book in our database since 2007-01-24T02:59:15+00:00 (London)
Detail page last modified on 2024-03-23T22:19:23+00:00 (London)
ISBN/EAN: 9781461405887

ISBN - alternate spelling:
1-4614-0588-2, 978-1-4614-0588-7
Alternate spelling and related search-keywords:
Book author: george, korovkin
Book title: singular selves, singular integrals, approximation, multivariate, springer mathematics

Information from Publisher

Author: George A. Anastassiou
Title: SpringerBriefs in Mathematics; Approximation by Multivariate Singular Integrals
Publisher: Springer; Springer US
79 Pages
Publishing year: 2011-07-25
New York; NY; US
Printed / Made in
Language: English
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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