Hermite插值的平均收敛的Erdos─Feldheim型定理

ERDOS-FELDHEIM TYPE THEOREM ON MEAN CONVERGENCE OF HERMITE INTERPOLATION

讨论了基于扩充的第二类切比雪夫节点的Ｈｅｒｍｉｔｅ插值的平均收敛的Ｅｒｄｏｓ—Ｆｅｌｄｈｅｉｍ型定理

By H2n+1 (f;x) denote Hermite interpolation polynomial of degree≤2n+ 1 based on the extended Tchebyshev nodes of the second kind. They are obtained that Theorem 1 Suppose f(x) ∈cr[-1, 1],r≥1. If ω(f(r);δ) denotes the modulus of continuity of f(r) (x),then for any fixed integer p>0,Meanwhile,we have got Erdos-Feldheim type theorem.Theorem 2 If f(x) e∈cr[-1, 1],r≥1, then for any fixed integer p>0,