On the Fourier coefficients of functions from multidimensional bounded $\Lambda$-variation classes
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2011), pp. 10-18
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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.
@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},
publisher = {mathdoc},
number = {1},
year = {2011},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMUMM_2011_1_a1/ %G ru %F VMUMM_2011_1_a1
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/