| 单纯形上Bernstein-Stancu-Durrmeyer算子的一致逼近等价定理 |
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| 引用本文： | 胡四修,徐吉华.单纯形上Bernstein-Stancu-Durrmeyer算子的一致逼近等价定理[J].湖北大学学报(自然科学版),2000,22(2). |
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| 作者姓名： | 胡四修 徐吉华 |
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| 作者单位： | 湖北大学数学与计算机科学学院!湖北武汉430062 |
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| 摘 要： | 利用Ditzian -Totik光滑模和K -泛函间的等价性 ,并借助最佳逼近多项式理论 ,对定义在单纯形上连续函数空间上的多元Bernstein -Stancu-Durrmeyer算子给出了一个积分型估式及弱型逆定理 ,并由此建立等价定理 ,从而进一步深化了对Stancu型算子的研究
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| 关 键 词： | 单纯形 多元Bernstein-Stancu-Durrmeyer算子 一致逼近 等价定理 |
Uniform approximation equivalence theorem for Bernstein-Stancu-Durrmeyer operators on a simplex |
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| Hu Sixiu,Xu Jihua.Uniform approximation equivalence theorem for Bernstein-Stancu-Durrmeyer operators on a simplex[J].Journal of Hubei University(Natural Science Edition),2000,22(2). |
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| Authors: | Hu Sixiu Xu Jihua |
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| Abstract: | Using the equivalence relation between Ditzian-Totik modulus of smoothness and corresponding K-functional and with the aid of theories on the best approximation polynomials, gave a integral-type estimate and a weak inverse theorem for multivariate Bernstein-Stancu-Durrmeyer operators defined on the space of continuous functions on a simplex, and thus got an equivalence theorem, which enrich knowledge about operators of stancu-type. |
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| Keywords: | simplex multivariate Bernstein-Stancu-Durrmeyer operators uniform approximation equivalence theorem |
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