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Bivariate Hermite interpolation on the exponential curve

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Abstract

We study Hermite interpolation problems on the exponential curve \(y=e^x\) in \(\mathbb {R}^2\). We construct some kind of regular Hermite interpolation schemes and investigate continuity properties of interpolation polynomials with respect to interpolation conditions.

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Acknowledgements

We are grateful to an anonymous referee for his/her constructive comments. This paper has been partially done during a visit of the first named author at the Institute de Mathématiques de Toulouse in 2017. He wishes to thank this institution, LIA-Formath Vietnam and Prof. Jean-Paul Calvi for financial support and warm hospitality. This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant Number 101.02-2017.306.

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  1. Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Street, Cau Giay, Hanoi, Vietnam

    Van Manh Phung & Van Long Tang

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  1. Van Manh Phung
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  2. Van Long Tang
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Correspondence to Van Manh Phung.

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Phung, V.M., Tang, V.L. Bivariate Hermite interpolation on the exponential curve. Period Math Hung 78, 166–177 (2019). https://doi.org/10.1007/s10998-018-00274-x

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