Absolutely convergence factors of Fourier series

Author: George Tutberidze
Co-authors: Vakhtang Tsagareishvili
Keywords: Fourier coefficients, Fourier series, absolute convergence, finite variation functions.
Annotation:

This talk is devoted to investigate numerical sequences, for which multiplication with finite variation functions provides absolute convergence of Fourier series in the power p, where p>0. We present theorem, which is a criterion for which above mentioned numerical sequences are absolute convergence factors of Fourier series of finite variation functions.

Lecture files:

აბსოლუტურად კრებადობის მამრავლები ფურიეს მწკრივებისათვის [ka]