| Meyer-Konig and Zeller算子及Bernstein算子在内插空间中的逼近 |
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| 引用本文： | 张三敖. Meyer-Konig and Zeller算子及Bernstein算子在内插空间中的逼近[J]. 西北农林科技大学学报(自然科学版), 2000, 28(6): 168-174 |
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| 作者姓名： | 张三敖 |
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| 作者单位： | 宝鸡文理学院,数学系,陕西,宝鸡,721007 |
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| 基金项目： | 宝鸡文理学院校科研和教改项目 |
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| 摘 要： | 给出了一般内插空间中线性一致有界算子序列逼近的正逆定理 ,作为应用 ,用 Meyer- Konig and Zeller算子和 Bernstein算子给出了一类特殊的内插空间中一致逼近的特征性定理 ,其结果为已有的经典 Zygmund类中相应结论的推广。
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| 关 键 词： | 内插空间 Meyer-KonigandZeller算子 Bernstein算子 |
On approximation by Meyer-Konig and Zeller operators and Bernstein operators in interpolation spaces |
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| ZHANG San-ao. On approximation by Meyer-Konig and Zeller operators and Bernstein operators in interpolation spaces[J]. Journal of Northwest A&F University（Natural Science Edition）, 2000, 28(6): 168-174 |
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| Authors: | ZHANG San-ao |
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| Affiliation: | ZHANG San-ao (Department of Math.,Baoji College of Arts and Science,Baoji,Shaanxi 721007,China) |
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| Abstract: | The direct and inverse theorem of approximating by linear bounded operator sequences in generalized interpolation spaces are obtained. In application, the characterization theorems of Meyer-Konig and Zeller operators and Bernstein operators in a special interpolation space are presented. The results obtained in this paper generalize the correspondences in classical Zygmund class. |
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| Keywords: | interpolation space Meyer-Konig and Zeller operators Bernstein operators |
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