@Article{ATA-40-208, author = {Shankar , Hari and Mathur , Pankaj}, title = {(0, 1; 0)–Interpolation on Semi Infinite Interval $(0, ∞)$}, journal = {Analysis in Theory and Applications}, year = {2024}, volume = {40}, number = {2}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2018-0005}, url = {http://global-sci.org/intro/article_detail/ata/23235.html} }