Meyer-Konig and Zeller算子及Bernstein算子在内插空间中的逼近  

On approximation by Meyer-Konig and Zeller operators and Bernstein operators in interpolation spaces

作　　者：张三敖[1] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721007

出　　处：《西北农业大学学报》2000年第6期168-174,共7页Journal of Northwest Sci-Tech University of Agriculture and Forestry（Natural Science Edition)

基　　金：宝鸡文理学院科研基金资助项目(200002)

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。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.

关 键 词：内插空间 Meyer-KonigandZeller算子 BERNSTEIN算子 

分 类 号：O174.41[理学—数学]