| Beta算子关于导数只具有第1类间断点函数的同时逼近 |
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| 引用本文： | 刘丽霞,朱绵庆,郭顺生.Beta算子关于导数只具有第1类间断点函数的同时逼近[J].河北师范大学学报(自然科学版),2007,31(3):289-293. |
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| 作者姓名： | 刘丽霞 朱绵庆 郭顺生 |
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| 作者单位： | 河北师范大学,教学与信息科学学院,河北,石家庄,050016 |
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| 基金项目： | 国家自然科学基金
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河北省自然科学基金
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河北省教育厅博士科研项目
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河北师范大学校科研和教改项目 |
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| 摘 要： | 利用概率论中中心极限定理研究了Beta算子及其导数对导数只具有第1类间断点函数类的同时逼近问题,得到了误差的点态的估计.
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| 关 键 词： | Beta算子 同时逼近 连续模 |
| 文章编号： | 1000-5854(2007)03-0289-05 |
| 修稿时间： | 2006-04-14 |
Simultaneous Approximation by Beta Operators for Functions Whose Derivatives Have only Discontinuity Points of the First Kind |
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| LIU Li-xia,ZHU Mian-qing,GUO Shun-sheng.Simultaneous Approximation by Beta Operators for Functions Whose Derivatives Have only Discontinuity Points of the First Kind[J].Journal of Hebei Normal University,2007,31(3):289-293. |
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| Authors: | LIU Li-xia ZHU Mian-qing GUO Shun-sheng |
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| Institution: | College of Mathematics and Information Sciences, Hebei Normal University, Hebei Shijiazhuang 050016, China |
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| Abstract: | By using the central limit theorem in probability theory,the problem of simultaneous approximation is investigated by Beta operators and its derivatives for functions whose derivatives have only discontinuity points of the first kind,the pointwise result of the error is obtained. |
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| Keywords: | Beta operators simultaneous approximation continuity modulous |
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