| 用多项式逼近有界可测函数的a.e.逼近阶 |
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| 引用本文： | 林峰,刘颖范.用多项式逼近有界可测函数的a.e.逼近阶[J].首都师范大学学报(自然科学版),1993(1). |
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| 作者姓名： | 林峰 刘颖范 |
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| 作者单位： | 南京航空学院数理力学系
(林峰)，南京航空学院数理力学系(刘颖范) |
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| 摘 要： | 本文借助于连续函数的多项式逼近与L~-可积函数的光滑化来处理有界可测函数的多项式逼近。特别是,它给出了一系列有用的估计。按照这种估计,对这种函数,在几乎所有点处能给出一系列有用的估计。
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| 关 键 词： | δ-连续模 连续函数 r-阶Jackbson算子 |
On a.e. Approximation Degress of Bounded L-Measurable Functions with Polynomial |
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| Lin Feng,Liu Yingfan.On a.e. Approximation Degress of Bounded L-Measurable Functions with Polynomial[J].Journal of Capital Normal University(Natural Science Edition),1993(1). |
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| Authors: | Lin Feng Liu Yingfan |
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| Institution: | Lin Feng,Liu Yingfan Department of Mathematics and physics,Naijing Aeronautical Institute |
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| Abstract: | The poly nonrmial approxinmations of bounded measurable functions are processed by meansof the approximations of continual functions and smoothing L-integrable functions and, whatis more important, it gives a series of useful estimations,according which a series of useful esti-mations can be obtained at almost every point of this function. |
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