Fourier analysis of the approximation power of principal shift-invariant spaces-Reference-Cited by-同舟云学术

Fourier analysis of the approximation power of principal shift-invariant spaces

Published:1992-12 Issue:4 Volume:8 Page:427-462
ISSN:0176-4276
Container-title:Constructive Approximation
language:en
Short-container-title:Constr. Approx

Author:

de Boor Carl,Ron Amos

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,General Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/BF01203462.pdf

Reference34 articles.

1. [AS]M. Abramowitz, I. Stegun (1970): A Handbook of Mathematical Functions. New York: Dover.

2. [BAR]A. Ben-Artzi, A. Ron (1990):On the integer translates of a compactly supported function: dual bases and linear projectors. SIAM J. Math. Anal.,21:1550?1562.

3. [B1]C. de Boor (1987):The polynomials in the linear span of integer translates of a compactly supported function. Constr. Approx.3:199?208.

4. [B2]C. de Boor (1990):Quasi-interpolants and approximation power of multivariate splines. In: Computation of Curves and Surfaces (M. Gasca, C. A. Micchelli, eds.). Dordrecht: Kluwer, pp. 313?345.

5. [BD]C. de Boor, R. De Vore (1983):Approximation by smooth multivariate splines. Trans. Amer. Math. Soc.,276, 775?788.

Cited by 70 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. Highly localized RBF Lagrange functions for finite difference methods on spheres;BIT Numerical Mathematics;2024-03-15

2. A kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator with higher approximation order;Journal of Inequalities and Applications;2023-06-27

3. Wiener–Hopf Difference Equations and Semi-Cardinal Interpolation with Integrable Convolution Kernels;Constructive Approximation;2023-03-11

4. Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels;Journal of Approximation Theory;2022-06

5. Construction of Nonlinear Approximation Schemes for Piecewise Smooth Data;Constructive Approximation;2022-03-04