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.
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页码：52 / 54
页数：3
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