| 算子的点态逼近 |
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| 引用本文： | 马慧龙,卢敏.算子的点态逼近[J].宁夏师范学院学报,2008,29(3):1-7. |
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| 作者姓名： | 马慧龙 卢敏 |
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| 作者单位： | 1. 宁夏师范学院数学与计算机科学学院,宁夏,固原,756000
2. 宁夏大学数学计算机学院,宁夏,银川,750021 |
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| 摘 要： | 引入光滑模ω~2_фλ(f,t)(0≤λ≤1),利用Bernstein算子与Sikkema算子的关系,采用插项的方法和正规算子方法得到了Sikkema算子点态逼近的强型正定理,此外研究了该算子的弱型逆定理,从而改善了已有的结果.
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| 关 键 词： | Sikkema算子 Ditzain模 逼近 等价定理 |
The Pointwise Approximation of Sikkema Operators |
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| MA Huilong,LU Min.The Pointwise Approximation of Sikkema Operators[J].Journal of Ningxia Teachers College,2008,29(3):1-7. |
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| Authors: | MA Huilong LU Min |
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| Abstract: | By using of the tools of modulus of smoothness,making use of the relationship between the Bernstein and Sikkema operators and the method of inserting and normal operators,the approximation strong-type direct theorems are obtained.Furthermore,the approximation inverse theorems are studied, and the previous results are improved. |
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| Keywords: | Sikkema operators Module of Ditzain Approximation Equivalent theorems |
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