A New kind of Weighted Pal -Type Interpolation on Laguerre Polynomial

Rekha Srivastava, Geeta Vishwakarma

Abstract: In this paper we have studied a new kind of weighted Pl-Type interpolation on the two sets of the nodes of Laguerre polynomials. We prove the existence, uniqueness and explicit representation of fundamental polynomials on infinite interval. Also we give the birkoff quadrature formula for this type of interpolation.

Keywords: lacunary interpolation, Pl - Type interpolation, Laguerre Polynomial, Birkoff quadrature formula