Bernstein算子的导数加Jacobi权逼近的正逆定理

The direct and the inverse approximated theorem of the derivatives of the Bernstein operators with Jacobi weights

利用加权K-泛函与加权光滑模的等价关系,得到了加权意义下Bernstein算子的导数与它所逼近函数的光滑性之间关系的等价定理．

Using the equivalence relation between weighted K-functional and weighted modula of smoothness, a direct theorem and inverse theorem of the relation connected with deriwtives of the Bernstein operators and the smoothness of functions are obtained.