Email this article Some estimates for the error in Fourier–Legendre expansions of functions of one variable
- Authors: Geng A.1, You F.1, Zhao C.1, Shi S.1, Wang J.1, Huang X.2
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Affiliations:
- Shenyang Institute of Engineering
- Huafu Middle School
- Issue: Vol 99, No 5-6 (2016)
- Pages: 652-662
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149387
- DOI: https://doi.org/10.1134/S0001434616050047
- ID: 149387
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Abstract
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.
About the authors
Aicheng Geng
Shenyang Institute of Engineering
Author for correspondence.
Email: gengac@sie.edu.cn
China, Shenyang
Fucai You
Shenyang Institute of Engineering
Email: gengac@sie.edu.cn
China, Shenyang
Chunyuan Zhao
Shenyang Institute of Engineering
Email: gengac@sie.edu.cn
China, Shenyang
Shuhui Shi
Shenyang Institute of Engineering
Email: gengac@sie.edu.cn
China, Shenyang
Jianhua Wang
Shenyang Institute of Engineering
Email: gengac@sie.edu.cn
China, Shenyang
Xinfeng Huang
Huafu Middle School
Email: gengac@sie.edu.cn
China, Shenzhen
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