关于Lupas-Baskakov算子的点态逼近估计  

Pointwise approximation of Lupas-Baskakov operators

作　　者：王涛[1] 周运明[1] 

机构地区：[1]山东理工大学数学科学学院,山东淄博250049

出　　处：《山东大学学报（理学版）》2005年第2期17-23,共7页Journal of Shandong University(Natural Science)

摘　　要：综合利用概率论-中心极限定理的一种渐近展开形式和Bojanic- Cheng方法结合分析技巧研究了Lupas -Baskakov算子对局部有界函数的点态逼近估计,进一步证明了此估计在连续点处是渐近最优的,并给出了Lupas -Baskakov算子关于单调函数和凸函数的几何性质.The rate of convergence of Lupas-Baskakov operators for locally bounded functions is studied by means of probabistic methods and Bojanic-Cheng methods combining with analysis technique. It is proved that the estimation is asymptotically optimal for continuous points. The geometry character of Lupas-Baskakov operators is obtained.

关 键 词：Lupas-Baskakov算子 局部有界函数 格子点分布 中心极限定理 折线逼近 渐近最优 

分 类 号：O174.41[理学—数学]