Abstract
It is well-known that the Floater-Hormann rational interpolants give better results than other rational interpolants, especially in convergence rates and barycentric form. In this paper, we propose and study a family of bivariate Floater-Hormann rational interpolants, which have no real poles and arbitrarily high convergence rates on any rectangular region. Moreover, these interpolants are linear on data. In the end, several numerical examples further confirm our results.
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Communicated by Lothar Reichel.
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Supported by the National Natural Science Foundation of China (no. 11601224), the Science Foundation of Ministry of Education of China (no. 18YJC790069), the Natural Science Foundation of Jiangsu Higher Education Institutions of China (no. 18KJD110007) and the National Statistical Science Research Project of China (Grant no. 2018LY28).
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Jing, K., Kang, N. A Convergent Family of Bivariate Floater-Hormann Rational Interpolants. Comput. Methods Funct. Theory 21, 271–296 (2021). https://doi.org/10.1007/s40315-020-00334-9
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DOI: https://doi.org/10.1007/s40315-020-00334-9