CONVERGENCE OF LAGRANGE-HERMITE INTERPOLATION

Authors

  • Swarnima Bahadur University of Lucknow - Department of Mathematics and Astronomy
  • Manisha Shukla University of Lucknow - Department of Mathematics and Astronomy

Keywords:

Jacobi polynomial, Lagrange interpolation, Hermite interpolation, explicit representation, convergence

Abstract

In this paper, we consider explicit representations and convergence of Lagrange–Hermite Interpolation on two disjoint set of nodes, which are obtained by projecting vertically the zeros of (1− x2) Pn(α,β) (x) and (1− x2) Pn(α,β)‘ (x) respectively on the unit circle, where Pn(α,β) (x) stands for Jacobi polynomials.

Cover of n°33 Italian Journal of Pure and Applied Mathematics

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Published

2014-12-29

How to Cite

Bahadur, S., & Shukla, M. (2014). CONVERGENCE OF LAGRANGE-HERMITE INTERPOLATION. Italian Journal of Pure and Applied Mathematics, 33, 255–262. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6301

Issue

N°33 - December 2014

Section

Articoli - Forum Editrice

License

Copyright (c) 2014 Swarnima Bahadur, Manisha Shukla

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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