Error Estimates for Polyharmonic Cubature Formulas

被引：0

作者：

Render, Hermann ^{[1
]}

Kounchev, Ognyan ^{[2
,3
]}

机构：

[1] Univ Coll Dublin, Sch Math Sci, Dublin, Ireland

[2] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria

[3] Univ Bonn, Interdisciplinary Ctr Complex Syst IZKS, Bonn, Germany

来源：

DOLOMITES RESEARCH NOTES ON APPROXIMATION | 2013年 / 6卷

关键词：

Numerical integration; cubature formula; Fourier-Laplace series;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present article we shall present basic features of a polyharmonic cubature formula of degree s and corresponding error estimates. Main results are Markov-type error estimates for differentiable functions and error estimates for functions f which possess an analytic extension to a sufficiently large ball in the complex space C-d.

引用

页码：62 / 73

页数：12

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