L 1 -Convergence of Fourier Series with Complex Quasimonotone Coefficients

DOI10.2307/2043389zbMath0502.42007OpenAlexW4229946134MaRDI QIDQ3967937

Vera B. Stanojevic

Publication date: 1982

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

Full work available at URL: https://doi.org/10.2307/2043389

zbMATH Keywords

L1-convergence of Fourier seriescomplex quasimonotone coefficients

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (8)

Remarks on convergence of trigonometric series with special varying coefficients ⋮ Trigonometric series with general monotone coefficients ⋮ Some new conditions in Fourier analysis and applications ⋮ On the Integrability of Complex Trigonometric Series ⋮ L\({}^ 1\)-convergence of Fourier series with O-regularly varying quasimonotonic coefficients ⋮ On weighted L p integrability and approximation of trigonometric series ⋮ A new condition for certain trigonometric series ⋮ Convergence of Fourier series with complex quasimonotone coefficients and coefficients of bounded variation of order \(m^*\)

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