This article is cited in 3 papers

Functional conditions for the convergence of Fourier series with respect to general orthonormal systems

V. Sh. Tsagareishvili

Tbilisi State University, Tbilisi, Republic of Georgia

Abstract: In this paper we establish some functional conditions for the convergence of the Fourier series for functions from the class $C(0,1)$ with respect to general orthonormal systems.

Keywords: orthonormal system, Fourier series, Fourier coefficients, modulus of continuity.

UDC: 517.521

Received: 10.11.2009

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:5, 56–62

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