Polynomials, Orthogonal on Non-Uniform Grids

被引：3
|
作者：
Nurmagomedov, A. A. [1 ]
机构：
[1] Dagestan State Pedag Univ, Chair Appl Math, Makhachkala, Russia
来源：
IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA | 2011年 / 11卷 / 03期
关键词：
polinomial; ortogonal system; set; weight; weighted estimate; asymptotic formula; approximation;
D O I：
10.18500/1816-9791-2011-11-3-2-29-42
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Asymptotic properties of polynomials (p) over cap (n) (t), orthogonal with weight Delta t(j) on any finite set of N points from segment [- 1, 1] are investigated. Namely an asymptotic formula is proved in which asymptotic behaviour of these polynomials as n tends to infinity together with N is closely related to asymptotic behaviour of the Lasiandra polynomials. Furthermore are investigated the approximating properties of the sums by Fourier on these polynomials.
引用
收藏
页码：29 / 42
页数：14
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