局部有界函数的Picard算子收敛阶的估计

Estimate on rate of convergence of Picard operators for locally bounded functions

对局部有界函数f的Picard算子在区间(-∞,+∞)上的收敛阶进行估计。在蔡清波等人关于Picard算子的收敛阶研究基础上,对其所给的估计结果作进一步改进,得到更精确的系数估计。

In this article we estimate the rate of convergence of Picard operators for locally bounded function f on（-∞,＋∞）. Our study is based on the authors Cai and the others′ researches about the rate of convergence of Picard operators, and improves the results of estimation, gets more accurate coefficient estimation.