(1) Zhejiang Normal University, Jinhua, 321004, Zhejiang Province, P. R. China;(2) College of Mathematics and Physics, Lishui University, Lishui, 323000, Zhejiang Province, P. R. China
Abstract:
In this paper we give equivalent theorems on simultaneous approximation for the combinations of Bernstein operators by r-th
Ditzian-Totik modulus of smoothness
. We also investigate the relation between the derivatives of the combinations of Bernstein operators and the smoothness of
derivatives of functions.
Supported by the Key Academic Discipline of Zhejiang Provincial of China under Grant No.2005.