关于Bernstein型多项式导数的特征

ON CHARACTERLIZATION OF DERIVATIVES OF BERNSTEIN TYPE POLYNOMIALS

利用高阶光滑模研究Bernstein型多项式的高阶导数问题,用函数的光滑性刻画Bernstein型多项式的高阶导数的特征,得到了一个等价定理。

Using moduli of smoothness of high order, we study the problem derivatives hight order of the Bernstein type polynomials, characterize the derivatives of hight order by the smoothness of function and obtain a equivalence theorem.