ON THE UNIFORM CONVERGENCE OF DOUBLE FOURIER–WALSH SERIES

M.G. Grigoryan; A.L. Ghazaryan; G.G. Ghazaryan

doi:10.46991/PYSU:A/2020.54.1.020

ON THE UNIFORM CONVERGENCE OF DOUBLE FOURIER–WALSH SERIES

Authors

M.G. Grigoryan Chair of Higher Mathematics, Faculty of Physics, YSU, Armenia
A.L. Ghazaryan College of Science and Engineering, AUA, Armenia
G.G. Ghazaryan Chair of Higher Mathematics, Faculty of Physics, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2020.54.1.020

Keywords:

universal function, Fourier–Walsh series, uniformly convergence

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.

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Published

2020-04-15

How to Cite

Grigoryan, M., Ghazaryan, A., & Ghazaryan, G. (2020). ON THE UNIFORM CONVERGENCE OF DOUBLE FOURIER–WALSH SERIES. Proceedings of the YSU A: Physical and Mathematical Sciences, 54(1 (251), 20–28. https://doi.org/10.46991/PYSU:A/2020.54.1.020