关于Post-Gamma算子的点态近估计

Abstract

综合利用概率论中的中心极限定理的一种渐近展开形式和Bojanic-Cheng方法,研究了Post-Gamma算子 对局部有界函数的点态逼近估计,得到精确的逼近阶,并进一步证明了此估计在连续点处是渐进最优的.

The rates of convergence of Post-Gamma operators for locally bounded functions is studied by means of probabilistic methods and Bojanic-cheng' s methods combining with analysis technigue, and it is proved that the estimation is asymptotically optimal for continuous points.