On the uniform convergence of double Furier--Walsh series
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 54 (2020) no. 1, pp. 20-28
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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.
@article{UZERU_2020_54_1_a2,
author = {M. G. Grigoryan and A. L. Ghazaryan and G. G. Kazaryan},
title = {On the uniform convergence of double {Furier--Walsh} series},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {20--28},
publisher = {mathdoc},
volume = {54},
number = {1},
year = {2020},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UZERU_2020_54_1_a2/}
}
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%0 Journal Article %A M. G. Grigoryan %A A. L. Ghazaryan %A G. G. Kazaryan %T On the uniform convergence of double Furier--Walsh series %J Proceedings of the Yerevan State University. Physical and mathematical sciences %D 2020 %P 20-28 %V 54 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZERU_2020_54_1_a2/ %G en %F UZERU_2020_54_1_a2
M. G. Grigoryan; A. L. Ghazaryan; G. G. Kazaryan. On the uniform convergence of double Furier--Walsh series. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 54 (2020) no. 1, pp. 20-28. http://geodesic.mathdoc.fr/item/UZERU_2020_54_1_a2/