Quasi-interpolants from spline interpolation operators

Author:

Smith P. W.,Ward J. D.

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,General Mathematics,Analysis

Reference7 articles.

1. C. de Boor (1976): A Practical Guide to Splines. New York: Springer-Verlag.

2. C. de Boor, R. Jia, A. Pinkus (1982):Structure of invertible (bi) infinite totally positive matrices. Linear Algebra Appl.,47:41–56.

3. C. de Boor, I. J. Schoenberg (1976): Cardinal Interpolation and Spline Functions VIII: The Budan-Fourier Theorem for Splines and Applications. Lecture Notes in Mathematics, vol. 501. Berlin: Springer-Verlag.

4. C. K. Chui, H. Diamond (1987):A natural formulation of quasi-interpolation by multivariate splines. Proc. Amer. Math. Soc.,99:643–646.

5. F. R. Gantmacher (1959): Matrix Theory II. New York: Chelsea.

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4. Quasi-Interpolation on Irregular Points;Approximation and Computation: A Festschrift in Honor of Walter Gautschi;1994

5. Singularity of Cardinal Interpolation with Shifted Box Splines;Journal of Approximation Theory;1993-08

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