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

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.