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Bivariate Hermite interpolation on the exponential curve

  • Van Manh PhungEmail author
  • Van Long Tang
Article

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.

Keywords

Hermite interpolation Exponential curve Mean-value interpolation 

Mathematics Subject Classification

41A05 41A63 

Notes

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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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2018

Authors and Affiliations

  1. 1.Department of MathematicsHanoi National University of EducationCau GiayVietnam

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