| 摘要: |
| 本文研究了一类Post-Widder算子的线性组合加Jacobi型权的逼近问题.运用K-泛函和光滑模方法,建立了这类算子在Lp(1≤p≤∞)空间的逼近正、逆定理及特征刻划,所获得结果推广了经典的Post-Widder算子逼近的相关结论. |
| 关键词: Post-Widder算子 线性组合 加权Lp逼近 特征刻划 |
| DOI： |
| 分类号:O174.41 |
| 基金项目: |
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| WEIGHTED APPROXIMATION BY A COMBINATION OF POST-WIDDER OPERATORS IN Lp |
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ZHOU Xiao-hua
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ZHOU Xiao-hua(Department of Mathematics,Shangyu College,Shaoxing University,Shangyu 312300,China)
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| Abstract: |
| In this article,we consider the Jacobi weighted approximation by combination of Post-Widder operators in Lp(R+).By K-functional and smooth module method,the forward and reverse theory and characterization of this kind of operators are given,which generalize the classical conclusions of Post-Widder operators approximation. |
| Key words: Post-Widder operators linear combinations weighted Lp-approximation characterization |
