Szsz-Mirakjan算子逐点加权同时逼近(英文)

POINTWISE WEIGHTED SIMULTANEOUS APPROXIMATION BY SZSZ-MIRAKJAN OPERATORS

本文研究了Szsz-Mirakjan算子加权同时逼近的问题.利用加权光滑模ω2φλ(f,t)ω,获得了Szsz-Mirakjan算子加权同时逼近的点态结果,推广了已知的结果.

In this paper, we consider the weighted simultaneous approximation by the SzszMirakjan operators. By using weighted modulus of smoothness ω 2 φ λ （f, t） w , we obtain pointwise weighted simultaneous approximation, which generalize the known results.