| 修正Bernstein算子加Jacobi权的Voronovskaja型估计 |
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| 引用本文： | 夏荣荣,虞旦盛.修正Bernstein算子加Jacobi权的Voronovskaja型估计[J].浙江大学学报(理学版),2021,48(2):189-195. |
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| 作者姓名： | 夏荣荣 虞旦盛 |
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| 作者单位： | 杭州师范大学 数学系，浙江 杭州 310036 |
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| 摘 要： | 研究了修正Bernstein算子对奇性函数的加权逼近性质，得到其逼近定理，建立了修正Bernstein算子加Jacobi权的Voronovskaja型估计，值得注意的是，Jacobi权函数中的参数a，b无上界限制。
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| 关 键 词： | 加权逼近 Jacobi权 Voronovskaja型估计 Bernstein算子 |
| 收稿时间： | 2018-10-11 |
Estimations of Voronovskaja type weighted by Jacobi with a modified Bernstein operators |
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| XIA Rongrong,YU Dansheng.Estimations of Voronovskaja type weighted by Jacobi with a modified Bernstein operators[J].Journal of Zhejiang University(Sciences Edition),2021,48(2):189-195. |
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| Authors: | XIA Rongrong YU Dansheng |
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| Institution: | Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China |
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| Abstract: | The weighted approximation for the functions with singularities by a type of modified Bernstein operators was studied.The direct theorem and the estimation of Voronovskaja type with Jocobi weights were obtained. It should be noted that the parameters a and b in the Jacobi weight functions have no restrictions on the upper bounds. |
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| Keywords: | Jacobi weights Bernstein operators weighted approximation Vononovskaja type estimates |
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