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, particular...

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書誌詳細
第一著者: Anastassiou, George, 1952-
フォーマット: Livre numérique
言語:Anglais
出版事項: New York, NY : Springer New York 2011.
Cham : Springer Nature
シリーズ:SpringerBriefs in Mathematics
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注記: Description d'après consultation du 22 mai 2012
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Edition sous un autre format:• Approximation by multivariate singular integrals, George A. Anastassiou, 2011, New-York, Springer, Springer briefs in mathematics, 978-1-4614-0588-7
その他の書誌記述
要約: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
記述事項:Description d'après consultation du 22 mai 2012
Archives Springer e-books (Licence nationale)
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書誌:Notes bibliogr.
ISBN:9781461405894
ISSN:2191-8198
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