Some estimates for the error in Fourier–Legendre expansions of functions of one variable
- 作者: Geng A.1, You F.1, Zhao C.1, Shi S.1, Wang J.1, Huang X.2
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隶属关系:
- Shenyang Institute of Engineering
- Huafu Middle School
- 期: 卷 99, 编号 5-6 (2016)
- 页面: 652-662
- 栏目: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149387
- DOI: https://doi.org/10.1134/S0001434616050047
- ID: 149387
如何引用文章
详细
Some issues concerning expansions of functions in Fourier–Legendre series is considered in L2[−1, 1]. In particular, the rate of their convergence in the classes of functions characterized by the generalized modulus of continuity are estimated, and estimates of the remainder terms are obtained.
作者简介
Aicheng Geng
Shenyang Institute of Engineering
编辑信件的主要联系方式.
Email: gengac@sie.edu.cn
中国, Shenyang
Fucai You
Shenyang Institute of Engineering
Email: gengac@sie.edu.cn
中国, Shenyang
Chunyuan Zhao
Shenyang Institute of Engineering
Email: gengac@sie.edu.cn
中国, Shenyang
Shuhui Shi
Shenyang Institute of Engineering
Email: gengac@sie.edu.cn
中国, Shenyang
Jianhua Wang
Shenyang Institute of Engineering
Email: gengac@sie.edu.cn
中国, Shenyang
Xinfeng Huang
Huafu Middle School
Email: gengac@sie.edu.cn
中国, Shenzhen
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