An Interpolation Process on Weighted (0;0,1,2)-Interpolation on Laguerre Polynomial

Abstract

In the present paper ,we  have considered the problem  in  which    and     the

two  sets of   interscaled  nodal  points on the interval  [0,∞) .  Here we deal with the   problem in   which function values are prescribed at the zeros of   and the first  derivative  values are  prescribed  on  the zeros    (x) .We have  investigated  the  existence ,  uniqueness  explicit  representation of interpolatory polynomial  . Estimation  of  the  fundamental  polynomials  leading to a convergence theorem  have  also been  obtained.