On the integrability of double cosine and sine series. I

DOI10.1016/0022-247X(91)90050-AzbMath0724.42013OpenAlexW4206448805MaRDI QIDQ2644890

Ferenc Móricz

Publication date: 1991

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90050-a

zbMATH Keywords

integrabilityFourier seriesdouble sine seriesdouble trigonometric seriesdouble cosine seriestwo-dimensional trigonometric series

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (5)

On the integrability of double cosine and sine series. II ⋮ Some convergence theorems for Lebesgue integrals ⋮ Integrability of double cosine-sine series in the sense of improper Riemann integral ⋮ Two convergence theorems for Henstock-Kurzweil integrals and their applications to multiple trigonometric series ⋮ Boas-Telyakovskii conditions for the integrability of multiple trigonometric series

Cites Work

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• On the integrability and \(L^1\)-convergence of double trigonometric series. II
• Integrability of trigonometric series. I

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