| 修正Bernstein算子的导数及其加权光滑性刻画 |
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| 引用本文： | 王美玲.修正Bernstein算子的导数及其加权光滑性刻画[J].浙江教育学院学报,2014(5):44-48. |
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| 作者姓名： | 王美玲 |
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| 作者单位： | 杭州师范大学理学院,浙江杭州310036 |
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| 摘 要： | Della Vecchia等引进一种修正的Bernstein算子，它可以用来逼近端点具有奇性的函数。文章利用加权光滑模ω2φλ（ f，t） w和加权K 泛函K2φλ（ f，t2） w ，建立了该算子的导数与其目标函数的光滑性之间的等价关系，所得结论对权函数的参数a，b无上界限制，只要求a， b ＞0。
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| 关 键 词： | 奇性函数 加权逼近 Bernstein算子 等价关系 |
Derivatives of Modified Bernstein Operators and Smoothness with Jacobi Weights |
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| WANG Meiling.Derivatives of Modified Bernstein Operators and Smoothness with Jacobi Weights[J].Journal of ZHEJIANG Education Institute,2014(5):44-48. |
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| Authors: | WANG Meiling |
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| Institution: | WANG Meiling ( College of Science, Hangzhou Normal University, Hangzhou 310036, China) |
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| Abstract: | In the present paper,we establish the equivalent relation between the derivatives of a modified Bernstein operators and the smoothness of the functions which approximate in the weighted approximation,by using the weighted modulus of smoothness and the weighted K-functional.All the results involved have no re-striction on the upper bounds of the parameters a and b. |
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| Keywords: | functions of singularities weighted approximation Bernstein operators equivalent relation |
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