APPROXIMATION OF POISSON INTEGRALS BY REPEATED DE LA VALLEE POUSSIN SUMS

被引：7
|
作者：
Rovenskaya, O. G. [1 ]
Novikov, O. A. [1 ]
机构：
[1] Slavyansk Pedag Univ, Slavyansk, Ukraine
来源：
NONLINEAR OSCILLATIONS | 2010年 / 13卷 / 01期
关键词：
D O I：
10.1007/s11072-010-0103-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain asymptotic equalities for upper bounds of deviations of the repeated de la Vallee Poussin sums on classes of Poisson integrals. Under certain conditions, these equalities guarantee the solvability of the Kolmogorov-Nikol'skii problem for the repeated de la Vallee Poussin sums and classes of Poisson integrals. We indicate conditions under which the repeated de la Vallee Poussin sums guarantee a better order of approximation than ordinary de la Vallee Poussin sums.
引用
收藏
页码：108 / 111
页数：4
相关论文
共 50 条
12345