关于一个Bernstein型插值多项式的点态估计

On the Pointwise Estimation of a Bernstein Polynomials

以多项式（１－ｘ２）Ｕｎ（ｘ）（Ｕｎ（ｘ）为第二类Ｃｈｅｂｙｓｈｅｖ多项式）的零点作为插值的节点，构造了一个Ｌａｇｒａｎｇｅ插值过程Ｆｎ（ｆ，ｘ），给出了点态逼近阶的估计．

In this paper,a operator of “116”mean combination of approximation of function by Lagrange interpolation based on the roots of the polynomials(1-x 2)U n(x)(U n(x) is the second kind chebyshev polynomials)was constructed,using it,an estimation of the pointwise orders was given.