ON A WAY OF OBTAINING LOWER ESTIMATES FOR THE ERRORS OF QUADRATURE-FORMULAS

被引:29
作者
TEMLYAKOV, VN
机构
[1] Steklov Mathematical Institute, Moscow
来源
MATHEMATICS OF THE USSR-SBORNIK | 1992年 / 71卷 / 01期
关键词
D O I
10.1070/SM1992v071n01ABEH001396
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The purpose of this article is to obtain best possible lower estimates of the errors of quadrature formulas with a fixed number of nodes for classes of functions with bounded mixed derivative. The results obtained here lead to a strengthening of known lower estimates for the deviation of grids.
引用
收藏
页码:247 / 257
页数:11
相关论文
共 23 条
[1]  
BAKHVALOV NS, 1959, VESTNIK MOSKOV MMAFK, P3
[2]  
BAKHVALOV NS, 1963, ZH VYCH MAT MAT FIZ, V4, P5
[3]  
Bykovskii V.A., 1985, CORRECT ORDER ERROR
[4]  
Davenport H., 1956, MATHEMATIKA, V3, P131
[5]  
FROLOV KK, 1980, DOKL AKAD NAUK SSSR+, V252, P805
[6]  
FROLOV KK, 1976, DOKL AKAD NAUK SSSR+, V231, P818
[7]  
FROLOV KK, 1979, THESIS VYCHISL TSENT
[8]  
KASHIN BS, 1980, T MAT I STEKLOVA, V145, P111
[9]  
KOROBOV NM, 1959, DOKL AKAD NAUK SSSR+, V124, P1207
[10]  
Kuipers L., 1974, UNIFORM DISTRIBUTION