dedicated to the memory of per erik koch - A general theory of quasi-interpolants based on trigonometric splines is developed which is analogous to the polynomial spline case. The aim is to construct quasiinterpolants which are local, easy to compute, and which apply to a wide class of functions. As
Quasi-Interpolation Functionals on Spline Spaces
β Scribed by C.K. Chui; J.Z. Wang
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 659 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
β¦ Synopsis
We thank Carl de Boor and Amos Ron for providing us with their recent preprint [7], in which results similar to those discussed in Section 4 of this paper are also obtained. We are also indebted to Rong-Qing Jia for sending us his recent preprint [17]. The main results in this paper were presented to several participants of the conference in honor of G. G. Lorentz's 80th birthday on February 24-25, 1990, at College Station, and we thank, in particular, Amos Ron for his interest and helpful comments. We also express our appreciation to the referees whose suggestions greatly helped improve the revision of the manuscript.
π SIMILAR VOLUMES
Let s β₯ 1 be an integer, Ο s β be a compactly supported function, and S Ο denote the linear span of Ο β’ -k k β s . We consider the problem of approximating a continuous function f s β on compact subsets of s from the classes S Ο hβ’ , h > 0, based on samples of the function at scattered sites in s .