Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2011), pp. 10-18
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A. N. Bakhvalov. On the Fourier coefficients of functions from multidimensional bounded $\Lambda$-variation classes. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2011), pp. 10-18. http://geodesic.mathdoc.fr/item/VMUMM_2011_1_a1/
@article{VMUMM_2011_1_a1,
author = {A. N. Bakhvalov},
title = {On the {Fourier} coefficients of functions from multidimensional bounded $\Lambda$-variation classes},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {10--18},
year = {2011},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2011_1_a1/}
}
TY - JOUR
AU - A. N. Bakhvalov
TI - On the Fourier coefficients of functions from multidimensional bounded $\Lambda$-variation classes
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2011
SP - 10
EP - 18
IS - 1
UR - http://geodesic.mathdoc.fr/item/VMUMM_2011_1_a1/
LA - ru
ID - VMUMM_2011_1_a1
ER -
%0 Journal Article
%A A. N. Bakhvalov
%T On the Fourier coefficients of functions from multidimensional bounded $\Lambda$-variation classes
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2011
%P 10-18
%N 1
%U http://geodesic.mathdoc.fr/item/VMUMM_2011_1_a1/
%G ru
%F VMUMM_2011_1_a1
Estimates of trigonometric Fourier coefficients are obtained for functions from classes of bounded many-dimensional $\Lambda$-variation and functions continuous in $\Lambda$-variation. In some cases it is proved that these estimates are unimprovable by the order.