加Jacobi权的广义Bernstein算子的同时逼近正定理

Direct theorem on the simultaneous approximation of generalized Bernstein operators with Jacobi weights

本文使用Jacobi权函数,引入新的加权光滑模ωφλω2(f,t),给出了广义Bernstein算子加Jacobi权的同时逼近的点态估计的正定理.

In this paper, a new kind of weighted modulus smooehness is used to get the simultaneous approximation with Jacobi weights of generalized Bernstein operators, and direct theorems ofpointwise approximation are given.