一种推广的Bernstein型算子的正逆定理

The Direct and Inverse Theorems for a Kind of Generalized Bernstein Operators

借助最佳多项式逼近与Ditzian Totik模之间的关系,研究了一种推广的Bernstein型算子,建立了该算子逼近的Jackson型估计和一致逼近的弱Steckin Marchaud型不等式.

In this paper, by using relation between approximation of the best polynomial and moduli of Ditzian-Totik, a new kind of generalized Bernstein operators is studied, and Jackson-type integral estimation of approximation and Steckin-Marchaud inequality of weak type of uniform approximation is obtained for the operators.