关于Gauss-Weierstrass算子加权逼近的收敛阶

Weighted Approximation by Gauss-Weierstrass Operators in Uniform Approximation

在本文中，我们将主要讨论Gauss－Weierstrass算子加Jacobi权逼近时的收敛阶。得出了在一致逼近意义下的正定理、逆定理和特征性。

In this paper, we consider the weighted approximation by Gauss-Weierstrass operators with Jacobi weights ω (x) =xα(1+x)βin uniform approximation. The direct results and the Characterization of weighted approximation by Gauss-Weierstrass operators are given.