| 修正的Durrmeyer-Bernstein算子在Orlicz空间中的逼近等价定理 |
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| 作者单位： | ;1.云南中医学院信息技术学院;2.云南民族大学数学与计算机科学学院 |
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| 摘 要： | 以加权光滑模为工具,建立了修正的Durrmeyer-Bernstein算子在Orlicz空间中的逼近正,逆定理,得到了逼近等价定理.
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| 关 键 词： | 修正的Durrmeyer-Bernstein算子 Orlicz空间 K-泛函 光滑模 |
Approximation equivalence theorem of modified Durrmeyer-Bernstein operators in Orlicz spaces |
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| Institution: | ,Institute of Information Technology,Yunnan University of Traditional Chinese Medicine,School of Mathematics and Computer Sciences,Yunnan Minzu University |
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| Abstract: | Using a modulus of smoothness with weight,we establish a direct theorem and an inverse theorem of modified Durrmeyer- Bernstein operators in Orlicz spaces. Furthermore,we obtain an approximation equivalence theorem of the operators. |
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| Keywords: | modified Durrmeyer-Bernstein operators Orlicz spaces K-functional modulus of smoothness |
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