Legendre expansions of power series

被引：1

作者：

Guyker, J ^{[1
]}

机构：

[1] SUNY Coll Buffalo, Dept Math, Buffalo, NY 14222 USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 1999年 / 29卷 / 04期

关键词：

D O I：

10.1216/rmjm/1181070407

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We estimate the Legendre coefficients of power series representations and the rates of pointwise and mean square convergence of their Legendre series expansions. Our main result is based on showing that the nth coefficient of the Legendre expansion of x(m) does not exceed 2/n.

引用

页码：1271 / 1284

页数：14

共 16 条

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