Abstract
In terms of the best approximations of a function in the space Lp, the conditions of existence of its (ψ, β)-derivatives and the uniform convergence of Fourier series to them are determined.
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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 15, No. 1, pp. 57–64 January–March, 2018.
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Radzievskaya, E.I. On the uniform convergence of Fourier series to (ψ, β)-derivatives. J Math Sci 235, 46–51 (2018). https://doi.org/10.1007/s10958-018-4057-9
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DOI: https://doi.org/10.1007/s10958-018-4057-9