• PÁL TYPE (0; 1)-INTERPOLATION ON MIXED TCHEBYCHEFF ABSCISSAS-I

Abstract

In this paper, we have considered an interpolation problem when function values are prescribed on the zeros of nth Tchebycheff polynomial of first kind and first derivatives are prescribed on the zeros of (n-1) th Tchebycheff polynomial of second kind. It has been shown that such an interpolation exists when n is odd, the explicit representation of which has been obtained. The convergence theorem for the interpolatory polynomial has also been dealt with.