Quadrature formulas for classes of functions with bounded mixed derivative or difference

被引：2

作者：

Wang, HP ^{[1
]}

机构：

[1] BEIJING NORMAL UNIV,DEPT MATH,BEIJING 100875,PEOPLES R CHINA

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 1997年 / 40卷 / 05期

关键词：

optimal quadrature formula; Besov class; number-theoretic methods;

D O I：

10.1007/BF02896952

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Quadrature formulas are considered for classes of smooth functions W-p(r), B-p,B-theta with bounded mixed derivative or difference. For the classes of functions indicated above, the result that quadrature formulas constructed with the help of number-theoretic methods are optimal (in the sense of order) is proved, and the optimal order of the error estimates is obtained.

引用

页码：449 / 458

页数：10

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