Hermite－Fejer型插值多项式的逼近阶

The Covergence Order of the Interpolation Process by Hermite Fejer Type Polynomials

主要研究Ｈｅｒｍｉｔｅ－Ｆｅｊｅｒ型插值多项式Ｋｎ（ｆ；ｘ）逼近Ｃ１连续函数类时的逼近阶，改进了Ｈ．Ｈ．Ｇｏｎｓｋａ的结果［１］，并且证明了当ｆ（ｘ）∈Ｃ１［－１，１］时，对于特殊函数类Ｈ１ｗ，Ｋｎ（ｆ；

In this paper, the covergence order of the interpolation process by Hermite-Fejer type polynomials K n(f;x) are considered, wher ustng K n(f;x) to f(x)∈C′ on [-1,1] , we develop the result of H. H. Gorska and shou that the convergence order can not be further inprored for a koid of specral fuactron H′ w .