V. Sh. Tsagareishvili, “Absolute convergence of Fourier series of functions of class <nobr>$\operatorname{Lip}1$</nobr> and of functions of bounded variation”, Izv. RAN. Ser. Mat., 2012, Volume 76, Issue 2,Pages <nobr>215

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Absolute convergence of Fourier series of functions of class $\operatorname{Lip}1$ and of functions of bounded variation

V. Sh. Tsagareishvili

Tbilisi Ivane Javakhishvili State University

Abstract: We study problems of the absolute convergence of Fourier series with respect to general orthonormal systems for functions in certain classes.

Keywords: Fourier series, Fourier coefficients, function of bounded variation, orthonormal system.

UDC: 517.521

MSC: Primary 42A20; Secondary 42A16

Received: 30.04.2010
Revised: 20.07.2011

DOI: 10.4213/im4568