Error estimates for Hermite interpolation on spheres

被引：3
作者：
Levesley, J [1 ]
Luo, Z [1 ]
机构：
[1] Univ Leicester, Dept Math, Leicester LE1 7RH, Leics, England
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 281卷 / 01期
关键词：
hermite interpolation; pseudodifferential operator; rotational differential operator; convergence rate;
D O I：
10.1016/S0022-247X(02)00451-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove convergence rates for spherical spline Hermite interpolation on the sphere Sd-1 via an error estimate given in a technical report by Luo and Levesley. The functionals in the Hermite interpolation are either point evaluations of pseudodifferential operators or rotational differential operators, the desirable feature of these operators being that they map polynomials to polynomials. Convergence rates for certain derivatives are given in terms of maximum point separation. (C) 2003 Elsevier Science (USA). All rights reserved.
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收藏
页码：46 / 61
页数：16
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