On the uniform convergence of double sine integrals over –ℝ 2+

DOI10.1524/ANLY.2011.1110zbMath1234.26040OpenAlexW2327174503MaRDI QIDQ3172356

Ferenc Móricz

Publication date: 5 October 2011

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.2011.1110

zbMATH Keywords

uniform convergenceconvergence in Pringsheim's sense and that the regular sensedouble integrals over the first quadrantmonotonically nonincreasing functions of two variablessecond mean value theorem for double integrals

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Harmonic analysis in several variables (42B99) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Convergence and divergence of integrals (40A10) Functions of several variables (26B99)

Related Items (3)

Uniform convergence of sine integral-series ⋮ On the regular convergence of multiple series of numbers and multiple integrals of locally integrable functions over \({\bar {\mathbb R}}^m_+\) ⋮ On the regular convergence of multiple integrals of locally Lebesgue integrable functions over \(\overline{\mathbb R}_+^m\)

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