| 关于推广的Bernstein多项式同时逼近的逆定理 |
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| 引用本文： | 马雪峰,薛银川. 关于推广的Bernstein多项式同时逼近的逆定理[J]. 西南民族学院学报(自然科学版), 2006, 32(3): 468-474 |
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| 作者姓名： | 马雪峰 薛银川 |
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| 作者单位： | 宁夏大学数学计算机学院,宁夏,银川,750021 宁夏大学数学计算机学院,宁夏,银川,750021 |
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| 基金项目： | 宁夏大学科研基金资助(LG0506)，宁夏大学数计学院科研基金资助. |
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| 摘 要： | 研究推广的Bernstein多项式的导数对可导函数的同时逼近,建立了同时逼近的逆定理.
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| 关 键 词： | 推广的Bernstein多项式 K-泛函 逆定理 |
| 文章编号： | 1003-2843(2006)03-0468-07 |
| 修稿时间： | 2005-09-19 |
The inverse theorem of global approximation of derivatives of generalized Bernstein polynomials |
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| MA Xue-feng,XUE Yin-chuan. The inverse theorem of global approximation of derivatives of generalized Bernstein polynomials[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2006, 32(3): 468-474 |
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| Authors: | MA Xue-feng XUE Yin-chuan |
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| Abstract: | The global approximation of derivatives of generalized Bernstein polynomials for the derivable functions is studied. By means of K-functional and moduli of smoothness, the inverse theorem of simultaneous approximation is established. |
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| Keywords: | generalized Bernstein polynomial K-functional inverse theorem |
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