Integrability of double cosine-sine series in the sense of improper Riemann integral

DOI10.1016/0022-247X(92)90049-JzbMath0756.42011OpenAlexW2006295253MaRDI QIDQ1191645

Ferenc Móricz

Publication date: 27 September 1992

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(92)90049-j

zbMATH Keywords

integrability conditionsimproper Riemann integraldouble cosine-sine series

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)

Related Items

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

• On the convergence in a restricted sense of multiple series
• On the integrability of double cosine and sine series. I
• Integrability of trigonometric series. I
• Convergence and Integrability of Double Trigonometric Series with Coefficients of Bounded Variation