Cardinal interpolation with general multiquadrics: convergence rates

Author:

Hamm KeatonORCID,Ledford Jeff

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference43 articles.

1. Abramowitz, M., Stegun, I.A. (eds.): Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards Applied Mathematics Series, No. 55 Courier Dover Publications (1972)

2. Aldroubi, A., Gröchenig, K.: Nonuniform sampling and reconstruction in shift-invariant spaces. SIAM Rev. 43(4), 585–620 (2001)

3. Baxter, B.J.C.: The asymptotic cardinal function of the multiquadratic ϕ ( r ) = ( r 2 + c 2 ) 1 2 $\phi (r)=(r^{2}+ c^{2})^{\frac {1}{2}}$ as c → ∞ $c\to \infty $ . Comput. Math. Appl. 24(12), 1–6 (1992)

4. de Boor, C., Ron, A.: Fourier analysis of approximation orders from principal shift-invariant spaces. Constr. Approx. 8(4), 427–462 (1992)

5. de Boor, C., DeVore, R.A., Ron, A.: Approximation from shift-invariant subspaces of L 2 ( ℝ d ) $L_{2}(\mathbb {R}^{d})$ . Trans. Amer. Math. Soc. 341(2), 787–806 (1994)

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