Picard算子对绝对连续函数的新收敛阶  

A New Estimate on the New Order of Convergence of Picard Operator for Absolutely Continuous Functions

作　　者：陈争鸣[1] 王平华[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：《江西科技师范大学学报》2014年第6期43-47,共5页Journal of Jiangxi Science & Technology Normal University

摘　　要：进一步研究了Picard算子Pn(f,x)=n/2+∞-n t-x f(t)e dt的逼近性质,利用概率型算子基函数的概率性质,-∞通过直接计算相关函数关于Laplace分布的数学期望,导出Picard算子对绝对连续函数的一个新收敛阶的估计。关键词:Picard算子;绝对连续函数;the approximation properties of Picard operators Pn（f,x）=n/2＋∫-∞＋∞f（t）e^-n｜t-x｜ are discussed in this-∞paper. Based on some properties of the base functions of probabilistic operators, the expectation of the correlation function in Laplace distribution is directly calculated, and then a new estimation on the new order of convergence of Picard operators for any absolutely continuous function is proposed.

关 键 词：Picard算子 绝对连续函数 收敛阶 

分 类 号：O174.41[理学—数学]