Uniform convergence of double trigonometric integrals
Volume 154 / 2018
Colloquium Mathematicum 154 (2018), 107-119
MSC: Primary 40A10, 42B10; Secondary 26B30.
DOI: 10.4064/cm7425-12-2017
Published online: 6 August 2018
Abstract
We study the uniform convergence of double cosine integrals, sine-cosine integrals and double sine integrals of double general monotone functions. We extend the results of F. Móricz and of A. Debernardi concerning the uniform convergence of double sine integrals and the results of M. Dyachenko, E. Liflyand and S. Tikhonov regarding the uniform convergence of single trigonometric integrals.
