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.
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页码：62 / 73
页数：12
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