Krasniqi, Xhevat Z. On the convergence (upper boundness) of trigonometric series. (English) Zbl 1204.42006 Math. Commun. 14, No. 2, 245-254 (2009). The author discusses necessary conditions and sufficient conditions for the convergence of the \(r\)-th derivative of Fourier series in \(L^1\). Reviewer: Vladimir V. Peller (East Lansing) Cited in 1 Document MSC: 42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series 42A20 Convergence and absolute convergence of Fourier and trigonometric series Keywords:trigonometric series PDFBibTeX XMLCite \textit{X. Z. Krasniqi}, Math. Commun. 14, No. 2, 245--254 (2009; Zbl 1204.42006)