On Interpolation of a Class of Functions by a Number-Theoretic Method

被引：0

作者：

Peter Bundschuh ^{[1
]}

机构：

[1] Mathematisches Institut der Universitat zu Koln, D-50931, Koln, Deutschland

来源：

Acta Mathematica Sinica,English Series | 1997年 / 04期

基金：

中国国家自然科学基金;

关键词：

Interpolation; Periodic function; Number-theoretic method;

D O I：

暂无

中图分类号：

O156 [数论];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper approximating functions for certain periodic functions in severalvariables with bounded mixed derivatives are constructed by making use of their values at the knotsof some number-theoretic nets. The errors are estimated in the L-norm where l≤q≤∝.

引用

页码：487 / 496

页数：10

共 4 条

[1] On interpolation of a certain class of functions
Zhu Y.
[J]. Acta Mathematicae Applicatae Sinica, 1997, 13 (1) : 45 - 56
[2] A NOTE ON INTERPOLATION OF A CERTAIN CLASS OF FUNCTIONS
朱尧辰
[J]. Acta Mathematicae Applicatae Sinica(English Series), 1994, (02) : 141 - 147
[3] ON SOME MULTI-DIMENSIONAL QUADRATURE FORMULAS WITH NUMBER-THEORETIC NETS[J]. 朱尧辰.Acta Mathematicae Applicatae Sinica(English Series). 1993(04)
[4] Applications of Number Theory to Numerical Analysis .2 Hua L K,Wang Y. Springer-Verlag and Science Press . 1981

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