Matematičeskie zametki, Tome 9 (1971) no. 3, pp. 355-363
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L. G. Khomutenko. Best-possible bounds of Fourier coefficients of functions of bounded variation with respect to the Haar system. Matematičeskie zametki, Tome 9 (1971) no. 3, pp. 355-363. http://geodesic.mathdoc.fr/item/MZM_1971_9_3_a13/
@article{MZM_1971_9_3_a13,
author = {L. G. Khomutenko},
title = {Best-possible bounds of {Fourier} coefficients of functions of bounded variation with respect to the {Haar} system},
journal = {Matemati\v{c}eskie zametki},
pages = {355--363},
year = {1971},
volume = {9},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_3_a13/}
}
TY - JOUR
AU - L. G. Khomutenko
TI - Best-possible bounds of Fourier coefficients of functions of bounded variation with respect to the Haar system
JO - Matematičeskie zametki
PY - 1971
SP - 355
EP - 363
VL - 9
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1971_9_3_a13/
LA - ru
ID - MZM_1971_9_3_a13
ER -
%0 Journal Article
%A L. G. Khomutenko
%T Best-possible bounds of Fourier coefficients of functions of bounded variation with respect to the Haar system
%J Matematičeskie zametki
%D 1971
%P 355-363
%V 9
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1971_9_3_a13/
%G ru
%F MZM_1971_9_3_a13
Best-possible estimates are obtained for sums and series of absolute values of Fourier coefficients with respect to the Haar system on the class $V(0, 1)$ of functions of bounded variation on $[0, 1]$. These estimates are improvements of results obtained by P. L. Ul'yanov.
