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| Müntz有理函数的加权L~p逼近 | |
| 引用本文： | 王军霞,李国成.Müntz有理函数的加权L~p逼近[J].浙江大学学报(理学版),2017,44(6):711-717. |
| 作者姓名： | 王军霞 李国成 |
| 作者单位： | 1. 天水农业学校 基础部, 甘肃 天水 741400; 2. 杭州科技职业技术学院 公共教学部, 浙江 杭州 311402 |
| 摘 要： | 考察了加Jacobi权w(x)=x~α(1-x)~α(α≥0)的L~p空间中Müntz有理函数的逼近问题.利用K-泛函与加权光滑模的等价性给出了逼近阶的估计以及Ditzian-Totik型定理.所得结果将已有文献中的相应结论推广到了加权情形. |
| 关 键 词： | 加权Lp逼近 Mü ntz有理函数 逼近速度 |
| 收稿时间： | 2016-11-10 |
On Lp-approximation by Mütz rational functions |
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| WANG Junxia,LI Guocheng.On Lp-approximation by Mütz rational functions[J].Journal of Zhejiang University(Sciences Edition),2017,44(6):711-717. | |
| Authors: | WANG Junxia LI Guocheng |
| Institution: | 1. Department of Public Education, Tianshui Agriculture School, Tianshui 741400, Gansu Province, China; 2. Department of Public Education, Hangzhou Polytechnic, Hangzhou 311402, China |
| Abstract: | In the present paper,we obtain the rate of Mütz rational approximation in weighted Lp spaces with the Jacobi weights ω(x)=xα(1-x)α,α ≥ 0. Based on the equivalence between the K-functional and the weighted moduli of smoothness, we establish the estimates of the approximation and two Ditzian-Totik type theorems.Our results generalize the related results of the existing researches. |
| Keywords: | weighted Lp-approximation Mütz rational functions approximation rate |
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