| 推广Jackson逼近阶定理 |
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| 引用本文： | 陈乃辉.推广Jackson逼近阶定理[J].纯粹数学与应用数学,2008,24(2). |
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| 作者姓名： | 陈乃辉 |
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| 作者单位： | 中央财经大学数学系,北京,100081;北京工业大学应用数理学院,北京,100022 |
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| 摘 要： | 在随机函数的环境下,推广了经典函数逼近论中的Jackson逼近阶定理.建立了随机函数均方连续模的概念,并得到其有关性质后,研究了四种不同条件下随机函数被随机系数三角多项式逼近的阶之估计.
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| 关 键 词： | 最佳逼近的阶 随机系数三角多项式 均方连续模 |
Generalized Jackson theorem of approximate order |
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| CHEN Nai-hui.Generalized Jackson theorem of approximate order[J].Pure and Applied Mathematics,2008,24(2). |
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| Authors: | CHEN Nai-hui |
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| Institution: | CHEN Nai-hui~(1,2) 1.Department of Mathematics,The Central University of Finance , Economics,Beijing 100081,China,2.College of Applied Seiences,Beijing University of Technology,Beijing 100022 |
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| Abstract: | Under the environment of random function,the Jackson theorem of approximate order in classics function approximation theory is extended.After the concept of mean square continuous module is built and its relevant character is obtained,the approximate order of random function approximated by trigonometric polynomial of random coefficient is researched. |
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| Keywords: | order of best approximation trigonometric polynomial of random coefficient mean square continuous module |
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