| 单纯形上加权K—泛函与光滑模的等价性及其应用 |
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| 引用本文： | 宣培才,张震球.单纯形上加权K—泛函与光滑模的等价性及其应用[J].应用数学学报,1997,20(3):345-353. |
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| 作者姓名： | 宣培才 张震球 |
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| 作者单位： | [1]绍兴文理学院计算机系 [2]天津大学数学系 |
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| 摘 要： | 本文首先讨论了高维单纯形上一类加权Ｋ－泛函与光滑模的等价性。然后作为应用，给出了高维单纯形上多元Ｂｅｒｎｓｔｅｉｎ算子加权逼近的特征刻划。
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| 关 键 词： | 单纯形 K－泛函 光滑模 加权逼近 逼近阶 |
THE EQUIVALENCE BETWEEN WEIGHTED K-FUNCTIONAL AND MODULI OF SMOOTHNESS ON SIMPLEX AND THEIR APPLICATIONS |
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| XUAN PEICAI.THE EQUIVALENCE BETWEEN WEIGHTED K-FUNCTIONAL AND MODULI OF SMOOTHNESS ON SIMPLEX AND THEIR APPLICATIONS[J].Acta Mathematicae Applicatae Sinica,1997,20(3):345-353. |
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| Authors: | XUAN PEICAI |
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| Abstract: | In this paper, we considered the equivalence between a class of weighted kfunctional and moduli of smoothness at first, and then we obtain the characterization of multidimensional Bernstein operators on simplex in weighted approximation with multidimensional Jacobi weights. |
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| Keywords: | Simplex K-functional moduli of smoothness Bernstein operators weighted approximation characterization |
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