| 推广的Kantorovich算子的加权逼近 |
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| 引用本文： | 吴迪,胡晓敏. 推广的Kantorovich算子的加权逼近[J]. 杭州电子科技大学学报, 2011, 31(3): 96-98 |
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| 作者姓名： | 吴迪 胡晓敏 |
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| 作者单位： | 杭州电子科技大学,理学院应用数学研究所,浙江杭州,310018 |
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| 摘 要： | 算子逼近是函数逼近论研究的一个重要方向,对于同一个函数用不同的算子进行逼近得到的逼近度可能不同.该文在带有权函数的光滑模的意义下,运用K泛函与光滑模的等价性,研究了推广的Kantorovich算子在Bα空间的加权逼近问题,得到逼近的逆定理.
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| 关 键 词： | 推广的康托洛维奇算子 加权光滑模 逼近 |
Approximation for a Generalized Kantorovich Operator with Weighted Function |
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| WU Di,HU Xiao-min. Approximation for a Generalized Kantorovich Operator with Weighted Function[J]. Journal of Hangzhou Dianzi University, 2011, 31(3): 96-98 |
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| Authors: | WU Di HU Xiao-min |
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| Affiliation: | (Institute of Application Mathematics,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China) |
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| Abstract: | The approximation problem of a generalized Kantorovich operator was studied in Bα space by using a smooth modulus with weight function,converse theorem were established. |
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| Keywords: | a generalized Kantorovich operator weighted smooth modulus approximation |
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