| 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。 |
| 关键词: 内插空间,Meyer-KonigandZeller算子,Bernstein算子 |
| DOI： |
| 分类号: |
| 基金项目:宝鸡文理学院科研基金资助项目(200002) |
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| On approximation by Meyer-Konig and Zeller operators and Bernstein operators in interpolation spaces |
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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. |
| Key words: interpolation space Meyer-Konig and Zeller operators Bernstein operators |
