On convergence in $L_1[0,1]$ norm of some irregular linear means of Walsh–Fourier series
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2012), pp. 10-15
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In this paper the convergence in $L_1[0,1]$ of some irregular linear means of Fourier–Walsh series of integrable functions after correcting these functions on sets of small measure is studied.
Keywords:
triangular matrix, irregular linear means, Dirichlet kernels.
@article{UZERU_2012_1_a1,
author = {L. N. Galoyan},
title = {On convergence in $L_1[0,1]$ norm of some irregular linear means of {Walsh{\textendash}Fourier} series},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {10--15},
publisher = {mathdoc},
number = {1},
year = {2012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UZERU_2012_1_a1/}
}
TY - JOUR AU - L. N. Galoyan TI - On convergence in $L_1[0,1]$ norm of some irregular linear means of Walsh–Fourier series JO - Proceedings of the Yerevan State University. Physical and mathematical sciences PY - 2012 SP - 10 EP - 15 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZERU_2012_1_a1/ LA - en ID - UZERU_2012_1_a1 ER -
%0 Journal Article %A L. N. Galoyan %T On convergence in $L_1[0,1]$ norm of some irregular linear means of Walsh–Fourier series %J Proceedings of the Yerevan State University. Physical and mathematical sciences %D 2012 %P 10-15 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZERU_2012_1_a1/ %G en %F UZERU_2012_1_a1
L. N. Galoyan. On convergence in $L_1[0,1]$ norm of some irregular linear means of Walsh–Fourier series. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2012), pp. 10-15. http://geodesic.mathdoc.fr/item/UZERU_2012_1_a1/