| Picard算子对局部有界函数的逼近 |
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| 引用本文： | 蔡清波.Picard算子对局部有界函数的逼近[J].泉州师范学院学报,2011,29(2):43-45,64. |
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| 作者姓名： | 蔡清波 |
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| 作者单位： | 泉州师范学院,数学与计算机科学学院,福建,泉州,362000 |
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| 摘 要： | 研究Picard算子的逼近性质,利用Bojanic-Cheng-Khan的方法及Hldre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.
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| 关 键 词： | Picard算子 局部有界函数 收敛阶 Lebesgue-Stieltjes积分 矩 |
Rate of Convergence of Picard Operators for Locally Bounded Functions |
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| CAI Qing-bo.Rate of Convergence of Picard Operators for Locally Bounded Functions[J].Journal of Quanzhou Normal College,2011,29(2):43-45,64. |
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| Authors: | CAI Qing-bo |
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| Institution: | CAI Qing-bo(School of Mathematic and Computer Science,Quanzhou Normal University,Fujian 362000,China) |
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| Abstract: | 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. |
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| Keywords: | Picard operators locally bounded functions rate of convergence Lebesgue-Stieltjes integral moments |
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