The Lp-convergence properties of the Grǖnwald process based on the second kind Tchebycheff nodes are discussed.When 1≤p < 2 ,an accurate bound of first convergence rate is given.When p≥2 ,that they aren't Lp,-convergenceo perators sequence is shown. We also give a kind of modified Grunwald process based on the second kind Tchebycheff nodes,and we discuss first Lp-convergence properities for 1≤P<∞ .
