SPEED CONVERGENCE OF FOUTIER SERIES OF SPECIAL FORM

Approximation of integrable functions with partial Fourier series of cosine only or sine only. There is the theorem describing approximation speed of these series in depend of restrictions on the original function. The results ob-tained highlight the difference between the Fourier series only cosine or sine only.

Authors: A. S. Kolpakov, An. Yu. Filatov, Ar. Yu. Filatov

Direction: Informatics and Computer Technologies

Keywords: Fourier series, sine, cosine, Dirichlet kernel, convolution, partial sum, approximation speed

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