Отправить статью по E-mail Some estimates for the error in Fourier–Legendre expansions of functions of one variable
- Авторы: Geng A.1, You F.1, Zhao C.1, Shi S.1, Wang J.1, Huang X.2
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Учреждения:
- Shenyang Institute of Engineering
- Huafu Middle School
- Выпуск: Том 99, № 5-6 (2016)
- Страницы: 652-662
- Раздел: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149387
- DOI: https://doi.org/10.1134/S0001434616050047
- ID: 149387
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Аннотация
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.
Об авторах
Aicheng Geng
Shenyang Institute of Engineering
Автор, ответственный за переписку.
Email: gengac@sie.edu.cn
Китай, Shenyang
Fucai You
Shenyang Institute of Engineering
Email: gengac@sie.edu.cn
Китай, Shenyang
Chunyuan Zhao
Shenyang Institute of Engineering
Email: gengac@sie.edu.cn
Китай, Shenyang
Shuhui Shi
Shenyang Institute of Engineering
Email: gengac@sie.edu.cn
Китай, Shenyang
Jianhua Wang
Shenyang Institute of Engineering
Email: gengac@sie.edu.cn
Китай, Shenyang
Xinfeng Huang
Huafu Middle School
Email: gengac@sie.edu.cn
Китай, Shenzhen
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