摘要
研究Picard算子的逼近性质,通过直接计算得到Picard算子的一阶绝对矩Pn(|t-x|,x)的最优估计,由此估计结果,并结合Bojanic-Cheng-Khan的方法以及分析技巧,导出Picard算子对绝对连续函数的渐近估计,得出该算子的一个渐近展开公式.
This paper studies the approximation properties of Picard operators.The optimal estimate on the first order absolute moment of Picard type operators is obtained by direct computations.And the estimate and Bojanic-Cheng-Khan＇s method combining with analytical techniques are used to derive asymptotically optimal estimation on the rate of convergence of Picard type operators Pn for a class of absolutely continuous functions.
出处
《泉州师范学院学报》
2010年第6期63-65,69,共4页
Journal of Quanzhou Normal University
