Ba空间中的Beta算子加Jacobi权的同时逼近

Weighted Ba-Approximation with Jacobi Weights of Derivative by the Method of Beta Operator

利用加权K-泛函与加权Ditzian-Totik光滑模的等价性,给出了Beta算子及其导数在Ba空间中加Jacobi权逼近的正、逆结果和逼近阶的特征刻画.

In this paper,the direct,converse results and the characterizations of the approximation rate of Jacobi-weighted Beta operator were obtained, and its derivative was also obtained in Ba-approximation by means of the equivalence of weighted Ditzian-Totik modulus and weighted K-functional.