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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} }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.