(0,1;0)-Interpolation on infinite interval (−∞, +∞)

Abstract

In this paper, we study the explicit representation and convergence of (0, 1; 0)-interpolation on infinite interval, which means to determine a polynomial of degree ≤ 3n − 2 when the function values are prescribed at two set of points namely the zeros of H n(x) and H n (x) and the first derivatives at the zeros of H n (x).