Approximation Properties of the Vallee-Poussin Means of Partial Sums of a Mixed Series of Legendre Polynomials

被引：14
|
作者：
Sharapudinov, I. I. [1 ]
机构：
[1] Russian Acad Sci, Daghestan Sci Ctr, Moscow 117901, Russia
来源：
MATHEMATICAL NOTES | 2008年 / 84卷 / 3-4期
基金：
俄罗斯基础研究基金会;
关键词：
approximation of functions; Legendre polynomial; Fourier-Legendre series; Vallee-Poussin means; Jacobi polynomial; Hermite interpolation polynomial;
D O I：
10.1134/S0001434608090125
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We estimate the order of weighted approximations of functions and their derivatives by using the means of mixed series of Legendre polynomials. As the main result, we obtain estimates of the order of approximation of a function and its derivatives by the Valle-Poussin means and their derivatives.
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页码：417 / 434
页数：18
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