TY - JOUR
T1 - (0, 1; 0)-Interpolation on Semi Infinite Interval $(0, ∞)$
AU - Shankar , Hari
AU - Mathur , Pankaj
JO - Analysis in Theory and Applications
VL - 2
SP - 208
EP - 220
PY - 2024
DA - 2024/07
SN - 40
DO - http://doi.org/10.4208/ata.OA-2018-0005
UR - https://global-sci.org/intro/article_detail/ata/23235.html
KW - Pál type interpolation, Laguerre polynomials, estimate, zeros.
AB - <p style="text-align: justify;">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 $(L^{(α)}_n)(x),$ $α &gt; −1$ and its derivative $(L^{(α)}_n)&#39; (x)$ 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.</p>