高阶插值在Lwp空间中的带权逼近(英文)

Weighted Approximation by Hight Order Interpolation in Lwp Space 

英文关键词:Hermite-Fejer interpolation  Hermite interpolation  approximation order.

中文摘要:

      构造了一类新的Ｈｅｒｍｉｔｅ及Ｈｅｒｍｉｔｅ－Ｆéｊｅｒ高阶插值多项式，研究了其逼近阶，逼近上界用Ｎ阶多项式最佳逼近给出

英文摘要:

      The paper gives a new way of constructing Hermite-Fejer and Hermite interpolatory polynomials with the nodes of the roots of first kind of Chebyshev polynomials and gives the approximation order of these two kinds of operators. The approximation orders are described with the best rate of approximation of f by polynomials of degree ≤N=(q+1)n-1 in L_w^p spaces.