Convergence of Fourier Sums in Polynomials Orthogonal on Arbitrary Grids

被引：3

作者：

Nurmagomedov, A. A. ^{[1
]}

机构：

[1] MM Dzhambulatov Dagestan State Agr Acad, 180 Gadzhiev Str, Makhachkala 367032, Russia

来源：

RUSSIAN MATHEMATICS | 2012年 / 56卷 / 07期

关键词：

polynomial; orthogonal system; grid; weight; weighted estimate; asymptotic formula; convergence; Fourier sum;

D O I：

10.3103/S1066369X12070080

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study approximation properties of discrete Fourier sums for a continuous function on the segment [-1, 1] with respect to an orthonormal system of polynomials representing finite-difference analogs of classical Legendre polynomials. In particular, we find the order of the norm of a discrete Fourier sum.

引用

页码：52 / 54

页数：3

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