Application of Lebesgue Constant in Convergence Of Lagrange Interpolation on The Unite Circle

In this paper, we want to study the convergence of lagrange interpolation polynomials on the sets obtained by projecting vertically the zeros of2 (1 ) ( ) n  x p x on to the unite circle and we define function F(X) by usin of lagrange Interpolation , and at last we use the lebesgue constant and Jackson s theorem to prove the convergence of lagrange interpolation on the unite circle

Keywords:

legendre polynomial , lagrange Interpolation , Lebesgue Constant , Convergence on the unite circle