Year: 2024
Author: Hari Shankar, Pankaj Mathur
Analysis in Theory and Applications, Vol. 40 (2024), Iss. 2 : pp. 208–220
Abstract
In this paper, we have studied a Pál type (0, 1; 0)-interpolation when Hermite and Lagrange data are prescribed on the zeros of Laguerre polynomial $(L^{(α)}_n)(x),$ $α > −1$ and its derivative $(L^{(α)}_n)' (x)$ respectively. Existence, uniqueness and explicit representation of the interpolatory polynomial $R_n(x)$ has been obtained. A qualitative estimate for $R_n(x)$ has also been dealt with.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2018-0005
Analysis in Theory and Applications, Vol. 40 (2024), Iss. 2 : pp. 208–220
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Pál type interpolation Laguerre polynomials estimate zeros.