Functions of the Lipschitz class and summability of Fourier series

V. Sh. Tsagareishvili

Tbilisi State University, 1 I. Chavchavadze Ave., Tbilisi 0128, Republic of Georgia

Abstract: In this paper we investigate summability of the general orthonormal systems (GOS) of the functions $f(x)\in \mathrm{Lip}~1$.

Keywords: general Fourier series, summability, Lebesgue function, Fourier coefficients.

UDC: 517.521

Received: 10.06.2016

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2017, 61:10, 72–76

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