Overconvergence in complex approximation / Sorin G. Gal
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | New York : Springer |
| 出版年 | [2013] |
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| 書誌ID | OB01027014 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | Includes bibliographical references (pages 185-191) and index 1. Overconvergence in C of some Bernstein-type operators -- 2. Overconvergence and convergence in C of some integral convolutions -- 3. Overconvergence in C of the orthogonal expansions. License restrictions may limit access This monograph deals with the quantitative overconvergence phenomenon in complex approximation by various operators. The book is divided into three chapters. First, the results for the Schurer-Faber operator, Beta operators of first kind, Bernstein-Durrmeyer-type operators and Lorentz operator are presented. The main focus is on results for several q-Bernstein kind of operators with q [greater than] 1, when the geometric order of approximation 1/q [superscript n] is obtained not only in complex compact disks but also in quaternion compact disks and in other compact subsets of the complex plane. The focus then shifts to quantitative overconvergence and convolution overconvergence results for the complex potentials generated by the Beta and Gamma Euler's functions. Finally quantitative overconvergence results for the most classical orthogonal expansions (of Chebyshev, Legendre, Hermite, Laguerre and Gegenbauer kinds) attached to vector-valued functions are presented. Each chapter concludes with a notes and open problems section, thus providing stimulation for further research. An extensive bibliography and index complete the text. This book is suitable for researchers and graduate students working in complex approximation and its applications, mathematical analysis and numerical analysis -- P. 4 of cover |
| 著者標目 | *Gal, Sorin G. 1953- |
| 件 名 | LCSH:Approximation theory |
| 分 類 | LCC:QA221 DC23:511/.4 |
| 巻冊次 | alk. paper ; ISBN:9781461470977 RefWorks出力（各巻） alk. paper ; ISBN:1461470978 RefWorks出力（各巻） ebook ; XISBN:9781461470984 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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