In this paper, Grünwald interpolatory polynomials Gn(f;x)=(?)f(xk)lk2(x) based on the zeros of Jacobi polynomials Jn(α,β)(x)(0<α,β<1) are studied, it has proved that Gn(f;x) converges uniformly continuous f(x) on any [a,b]?(-1,1), extended the results of G.Grünwald. |