ON QUASI-INTERPOLATION BY RADIAL BASIS FUNCTIONS WITH SCATTERED CENTERS

被引：40

作者：

BUHMANN, MD

DYN, N

LEVIN, D

机构：

[1] UNIV CAMBRIDGE,DEPT APPL MATH & THEORET PHYS,CAMBRIDGE CB3 9EW,ENGLAND

[2] TEL AVIV UNIV,SCH MATH SCI,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,IL-69978 RAMAT AVIV,ISRAEL

来源：

CONSTRUCTIVE APPROXIMATION | 1995年 / 11卷 / 02期

关键词：

RADIAL BASIS FUNCTIONS; QUASI-INTERPOLATION; MULTIVARIATE APPROXIMATION; SCATTERED DATA;

D O I：

10.1007/BF01203417

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Approximation by radial basis functions with ''quasi-uniformly'' distributed centres in R(d) is discussed. A construction of new polynomially decaying functions that span the approximation space is presented and the properties of the quasi-interpolation operator with these functions are investigated. It is shown that the quasi-interpolant reproduces polynomials and gives approximation orders identical to those in the uniform square-grid case.

引用

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页码：239 / 254

页数：16

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