On the Summability of Trigonometric Interpolation Processes

被引：0
|
作者：
L. Szili
机构：
[1] LORÁND EÖTVÖS UNIVERSITY,DEPARTMENT OF NUMERICAL ANALYSIS
来源：
Acta Mathematica Hungarica | 2001年 / 91卷
关键词：
Error Estimate; Fourier Series; General Result; Explicit Form; Uniform Convergence;
D O I：
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学科分类号：
摘要：
The aim of this paper is to show that several processes studied in trigonometric interpolation theory can be obtained by φ-sums of discrete Fourier series. We shall investigate the uniform convergence of the sequences of thesepolynomials. We show that the convergence of several processes can be seen immediately from suitable explicit forms of the corresponding polynomials. Error estimates for the approximation can be also obtained by certain general results.
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页码：131 / 158
页数：27
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