| Sikkema-Bézier型算子对有界变差函数的点态逼近度 |
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| 引用本文： | 李江波. Sikkema-Bézier型算子对有界变差函数的点态逼近度[J]. 绍兴文理学院学报, 2004, 24(7): 9-15 |
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| 作者姓名： | 李江波 |
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| 作者单位： | 丽水师范专科学校,数学系,浙江,丽水,323000 |
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| 摘 要： | 构造了两种Sikkema -B啨ｚｉｅｒ型算子Ｓｎ,a(f,x) ,S n ,a(f,x) (它们是Sikkema算子的两种推广 ) ,并研究了它们对有界变差函数的点态逼近 ,得到它们对这类函数点态逼近的最优估计式
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| 关 键 词： | Sikkema-Bezier算子 有界变差函数 点态逼近 |
| 文章编号： | 1008-293X(2004)07-0009-07 |
| 修稿时间： | 2004-03-10 |
On Approximation Rate of Two Sikkema-Bezier Type Operators for Bounded Variation Functions |
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| Li Jiangbo. On Approximation Rate of Two Sikkema-Bezier Type Operators for Bounded Variation Functions[J]. Journal of Shaoxing College of Arts and Sciences, 2004, 24(7): 9-15 |
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| Authors: | Li Jiangbo |
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| Abstract: | In the present paper we study approximation rate of two Sikkema-Bezier type operators S n,a(f,x) and S * n,a for bounded variation functions.We obtain asymptotically optimal estimation of S n,a and S * n,a for bounded variation functions at points of continuity and points of discontinuity. |
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| Keywords: | Sikkema-Bezier type operator bounded variation function pointwise approximation |
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