Abstract
Some issues concerning expansions of functions in Fourier–Legendre series is considered in L 2[−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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Geng, A., You, F., Zhao, C. et al. Some estimates for the error in Fourier–Legendre expansions of functions of one variable. Math Notes 99, 652–662 (2016). https://doi.org/10.1134/S0001434616050047
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DOI: https://doi.org/10.1134/S0001434616050047