Sergei Aleksandrovich Telyakovskii
Abstract
We study increasing sequences of positive integers that divide the Fourier series of functions of bounded variation into blocks of absolutely convergent series. We obtain a new version of the stability theorem for such sequences.
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We study increasing sequences of positive integers that divide the Fourier series of functions of bounded variation into blocks of absolutely convergent series. We obtain a new version of the stability theorem for such sequences.
Key concepts: Mathematics, Bounded variation, Fourier series, Bounded function, Function series, Series (stratigraphy), Variation (astronomy), Absolute convergence