Bivariate general Appell interpolation problem

In this paper, the solution to a bivariate Appell interpolation problem proposed in a previous work is given. Bounds of the truncation error are considered. Ten new interpolants for real, regular, bivariate functions are constructed. Numerical examples and comparisons with bivariate Bernstein polyno...

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Bibliographic Details
Published in:Numerical algorithms 2022-10, Vol.91 (2), p.531-556
Main Authors: Costabile, F. A., Gualtieri, M. I., Napoli, A.
Format: Article
Language:English
Subjects:
Algebra
Algorithms
Approximation
Bivariate analysis
Computer Science
Interpolation
Mathematical analysis
Numeric Computing
Numerical Analysis
Original Paper
Polynomials
Remakes & sequels
Theory of Computation
Truncation errors
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Summary:In this paper, the solution to a bivariate Appell interpolation problem proposed in a previous work is given. Bounds of the truncation error are considered. Ten new interpolants for real, regular, bivariate functions are constructed. Numerical examples and comparisons with bivariate Bernstein polynomials are considered.
ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-022-01272-4