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(0, 1; 0)-Interpolation on Semi Infinite Interval (0,)

(0, 1; 0)-Interpolation on Semi Infinite Interval $(0, ∞)$

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.

Author Details

Hari Shankar Email

Pankaj Mathur Email