Baskakov算子线性组合的点态估计(英文)

Pointwise Estimates for Linear Combinations of Baskakov Operators

本文利用 Ditzian- Totik模给出 Baskakov算子线性组合点态和整体逼近正逆定理的统一形式 ,得到了较高的逼近阶 ,并且刻画了该线性组合算子的逼近特征 .

In this paper we bridge local and global approximation theorems for the linear combinations of the Baskakov operators by way of Ditzian-Totik moduli ω~r_φ(f,t),r∈N of r order whereby φ is the Baskakov weight function. Both direct and converse theorems are derived.