| 广义Bernstein多项式若干性质 |
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| 引用本文： | 丁春梅.广义Bernstein多项式若干性质[J].海南大学学报(自然科学版),2003,21(4):304-307. |
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| 作者姓名： | 丁春梅 |
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| 作者单位： | 绍兴文理学院,数学系,浙江,绍兴,312000 |
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| 摘 要： | 研究广义Bernstein多项式保持原函数和逼近连续函数等问题.在参数sn满足不同的条件下,得到该多项式的若干Voronovskaja型渐近等式.
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| 关 键 词： | 广义Bernstein多项式 逼近 Voronovskaja型渐近等式. |
| 文章编号： | 1004-1729(2003)04-0304-04 |
| 修稿时间： | 2003年6月28日 |
Some Properties for Generalized Bernstein Polynomials |
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| DING Chun-mei.Some Properties for Generalized Bernstein Polynomials[J].Natural Science Journal of Hainan University,2003,21(4):304-307. |
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| Authors: | DING Chun-mei |
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| Abstract: | This paper deals with the problem,for the generalized Bernstein polynomials introduced by J.D.Cao,retaining the properties of functions and approximating continuous function.When the parameter s_n satisfies some different conditions,some Voronovskaja type expansions of the polynomials are obtained.The results obtained in the present paper include the corresponding ones for the classical Bernstein operators. |
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| Keywords: | Generalized Bernstein polynomials approximation Voronovskaja type asymptotic formula |
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