Weighted Pál type (1;0) - interpolation on the zeros of Laguerre abscissas

N. Mathur, P. Mathur

In this paper, we have studied a Pál type (1; 0)- interpolation when first derivatives and function values are prescribed on the zeros of Laguerre Polynomials Ln(α)(x), α > -1 and its derivative (Ln(α))'(x) respectively. Existence, uniqueness, explicit representation and a quantitative estimate of the interpolatory polynomial Rn, α(x) has been obtained. 

Tbilisi Mathematical Journal, Vol. 14(1) (2021), pp. 97-106