Necessary and Sufficient Conditions for L 1 Convergence of Trigonometric Series

DOI10.2307/2041114zbMath0339.42007OpenAlexW4232049446MaRDI QIDQ4106627

John W. Garrett, Ćaslav V. Stanojević

Publication date: 1977

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2041114

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (6)

On a paper of Bojanić and Stanojević ⋮ Trigonometric series with general monotone coefficients ⋮ \(L^ 1\)-convergence of modified cosine sums with generalized quasiconvex coefficients ⋮ Estimates of the norms of some cosine and sine series ⋮ Extensions of Móricz classes and convergence of trigonometric sine series in \(L^1\)-norm ⋮ Convergence of Fourier series with complex quasimonotone coefficients and coefficients of bounded variation of order \(m^*\)

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