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March 2021 Weighted Pál type (1;0)-interpolation on the zeros of Laguerre abscissas
Neha Mathur, Pankaj Mathur
Tbilisi Math. J. 14(1): 97-106 (March 2021). DOI: 10.32513/tmj/1932200818

Abstract

In this paper, we have studied a Pál type (1; 0)-interpolation when first derivatives and function values are prescribed on the zeros of Laguerre Polynomials $L_{n}^{(\alpha)}(x), \alpha > -1$ and its derivative $(L_{n}^{(\alpha)})^{\prime}(x)$ respectively. Existence, uniqueness, explicit representation and a quantitative estimate of the interpolatory polynomial $R_{n, \alpha}(x)$ has been obtained.

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Neha Mathur. Pankaj Mathur. "Weighted Pál type (1;0)-interpolation on the zeros of Laguerre abscissas." Tbilisi Math. J. 14 (1) 97 - 106, March 2021. https://doi.org/10.32513/tmj/1932200818

Information

Received: 11 June 2020; Accepted: 12 September 2020; Published: March 2021
First available in Project Euclid: 1 April 2021

Digital Object Identifier: 10.32513/tmj/1932200818

Subjects:
Primary: 41A05

Rights: Copyright © 2021 Tbilisi Centre for Mathematical Sciences

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Vol.14 • No. 1 • March 2021
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