This article is cited in 1 paper

On a convergence in $L_p$ of the Cesaro means оf Fourier series with monotonic coefficients

L. N. Galoyan

Chair of Higher Mathematics, Physical Faculty, Yerevan State University, 1 Al. Manukyan str., Yerevan, 0025 Republic of Armenia

Abstract: In this paper we study a convergence in $L_p$, $1<p<\infty$, of the Cesaro means of negative order for sine and cosine Fourier series with monotonic coefficients.

Keywords: Cesaro means, integral modulus of continuity, Fourier series with monotonic coefficients, summability in $L_p$ space.

UDC: 517.518

Received: 18.07.2014

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2016, 60:2, 19–24

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