Rate of convergence of Shepard's global interpolation formula

Author:
Reinhard Farwig

Journal:
Math. Comp. **46** (1986), 577-590

MSC:
Primary 65D05; Secondary 41A05, 41A25

DOI:
https://doi.org/10.1090/S0025-5718-1986-0829627-0

MathSciNet review:
829627

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Abstract | References | Similar Articles | Additional Information

Abstract: Given any data points in and values of a function *f*, Shepard's global interpolation formula reads as follows:

*f*of degree . In this paper, we investigate the approximating power of for all values of

*p*,

*q*and

*s*.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1986-0829627-0

Keywords:
Multivariate interpolation,
Shepard's formula,
rate of convergence

Article copyright:
© Copyright 1986
American Mathematical Society