Simultaneous spline approximation and interpolation preserving norms

Author:

Chui C. K.,Rozema E. R.,Smith P. W.,Ward J. D.

Abstract

In this paper, it is proved that splines of order k ( k 2 ) k(k \geqslant 2) have property SAIN. The proof of this result is based on the important properties of B B -splines.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference6 articles.

1. On calculating with 𝐵-splines;de Boor, Carl;J. Approximation Theory,1972

2. On simultaneous approximation and interpolation which preserves the norm;Deutsch, Frank;J. Approximation Theory,1969

3. A geometrical approach to property (SAIN);Holmes, Richard;J. Approximation Theory,1973

4. Simultaneous approximation and interpolation in 𝐿₁ and 𝐶(𝑇);Lambert, Joseph M.;Pacific J. Math.,1973

5. \bysame, Simultaneous approximation and interpolation which preserves the norm by cubic splines in 𝐶[𝑎,𝑏] (submitted).

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Simultaneous Interpolation and Norm-Preservation;Delay Equations, Approximation and Application;1985

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