Picard算子对局部有界函数的逼近  

Rate of Convergence of Picard Operators for Locally Bounded Functions

作　　者：蔡清波[1] 

机构地区：[1]泉州师范学院数学与计算机科学学院,福建泉州362000

出　　处：《泉州师范学院学报》2011年第2期43-45,64,共4页Journal of Quanzhou Normal University

摘　　要：研究Picard算子的逼近性质,利用Bojanic-Cheng-Khan的方法及Hldre不等式,运用分析技术和不等式技巧,得到了Picard算子对一类局部有界函数的渐近估计,并得出该算子的一个渐近展开公式.The approximation properties of Picard operators are studied for locally bounded functions.Bojanic-Khan-Cheng＇s method and inequality combined with analysis techniques and inequality skills are used to derive an asymptotically optimal estimate on the rate of convergence of Picard operators for locally bounded functions.

关 键 词：Picard算子 局部有界函数 收敛阶 LEBESGUE-STIELTJES积分 矩 

分 类 号：O174.41[理学—数学]