Some estimates for the error in Fourier–Legendre expansions of functions of one variable


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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.

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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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