Mean convergence of an extended Lagrange interpolation process on [0,+∞)

被引：0
|
作者：
Donatella Occorsio
Maria Grazia Russo
机构：
[1] University of Basilicata,Department of Mathematics, Computer Science and Economics
来源：
Acta Mathematica Hungarica | 2014年 / 142卷
关键词：
Lagrange interpolation; orthogonal polynomial; polynomial approximation; 41A05; 41A10; 41A65;
D O I：
暂无
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学科分类号：
摘要：
We study some extended Lagrange interpolation processes based on the zeros of the generalized Laguerre polynomials. We give necessary and sufficient conditions such that the convergence of these processes, in suitable Lp weighted spaces on the real semiaxis, is assured for 1<p<+∞.
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页码：317 / 338
页数：21
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