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Approximation by Multivariate Singular Integrals / by George A. Anastassiou
(SpringerBriefs in Mathematics. ISSN:21918201)
版 | 1st ed. 2011. |
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出版者 | New York, NY : Springer New York : Imprint: Springer |
出版年 | 2011 |
大きさ | X, 79 p : online resource |
著者標目 | *Anastassiou, George A author SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Differential equations LCSH:Probabilities FREE:Integral Transforms and Operational Calculus FREE:Differential Equations FREE:Probability Theory |
一般注記 | 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 HTTP:URL=https://doi.org/10.1007/978-1-4614-0589-4 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9781461405894 |
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EB00207279 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA299.6-433 DC23:515.72 |
書誌ID | 4000116731 |
ISBN | 9781461405894 |
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