M. G. Grigoryan, A. L. Ghazaryan, G. G. Kazaryan, “On the uniform convergence of double Furier–Walsh series”, Proceedings of the YSU, Physical and Mathematical Sciences, 2020, Volume 54, Issue 1,Pages <nobr>20

Mathematics

On the uniform convergence of double Furier–Walsh series

M. G. Grigoryan^a, A. L. Ghazaryan^b, G. G. Kazaryan^a

^a Faculty of Physics, Yerevan State University
^b College of Science and Engineering, AUA, Armenia

Abstract: In this paper a universal function $U\in L^1[0,1)^2$ which with respect to the double Walsh system has universal property in the sense of modification, is constructed.

Keywords: universal function, uniformly convergence, Furier–Walsh series.

MSC: Primary 42C10; Secondary 42C20

Received: 17.02.2020
Revised: 21.03.2020
Accepted: 30.03.2020

Language: English