Anisotropic spline approximation with non-uniform B-splines

被引：0

作者：

Sissouno, N. ^{[1
]}

机构：

[1] Univ Passau, Fak Informat & Math, Passau, Germany

来源：

APPLICABLE ANALYSIS | 2018年 / 97卷 / 02期

关键词：

Non-uniform splines; approximation; quasi-interpolation; multivariate; domain;

D O I：

10.1080/00036811.2016.1254774

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently the author and U. Reif introduced the concept of diversification of uniform tensor product B-splines. Based on this concept, we give a new constructive modification of non-uniform B-splines. The resulting spline spaces are perfectly fitted for the approximation of functions defined on domains Omega subset of R-2. We build a bounded quasi-interpolant and prove that for our spline spaces an anisotropic error estimate in the Lp-norm, 1 <= p <= infinity, is valid. In particular, we show that the constant of the error estimate does not depend on the shape of Omega or the knot grid.

引用

页码：135 / 144

页数：10

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