| Trigub不等式的推广 |
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| 引用本文： | 刘兴薇,汪成咏.Trigub不等式的推广[J].北京交通大学学报(自然科学版),2005,29(6):108-110. |
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| 作者姓名： | 刘兴薇 汪成咏 |
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| 作者单位： | 北京交通大学,理学院,北京,100044;北京交通大学,理学院,北京,100044 |
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| 摘 要： | 由一阶连续模的Marchaud不等式入手,通过建立r阶连续模的Marchaud不等式,对Trigub不等式进行推广, 推广后的不等式能有效的沟通高阶连续模和低阶连续模的关系,起到了估计三角逼近与多项式逼近中误差大小的作用.
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| 关 键 词： | Trigub不等式 连续模 光滑模 |
| 文章编号： | 1673-0291(2005)06-0108-03 |
| 收稿时间： | 2004-10-28 |
| 修稿时间： | 2004年10月28日 |
Generalization of Trigub Inequality |
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| LIU Xing-wei,WANG Cheng-yong.Generalization of Trigub Inequality[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,2005,29(6):108-110. |
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| Authors: | LIU Xing-wei WANG Cheng-yong |
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| Institution: | School of Sciences, Beijing Jiaotong University, Beijing 100044, China |
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| Abstract: | Establishment of Marchaud inequality related to r order modulus of continuity from Marchaud inequality of first order modulus of continuity, hence the generalization of Trigub inequality, which enable us to bridge the relation between higher order modulus of continuity and lower order modulus of continuity, it plays an important part in the error estimate of trigonometric polynomial and algebraic polynomial. |
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| Keywords: | Trigub inequality modulus of continuity smooth modulus |
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