Matematičeskie zametki, Tome 8 (1970) no. 1, pp. 47-58
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K. I. Oskolkov. The convergence of trigonometric series to functions of bounded variation. Matematičeskie zametki, Tome 8 (1970) no. 1, pp. 47-58. http://geodesic.mathdoc.fr/item/MZM_1970_8_1_a5/
@article{MZM_1970_8_1_a5,
author = {K. I. Oskolkov},
title = {The convergence of trigonometric series to functions of bounded variation},
journal = {Matemati\v{c}eskie zametki},
pages = {47--58},
year = {1970},
volume = {8},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_1_a5/}
}
TY - JOUR
AU - K. I. Oskolkov
TI - The convergence of trigonometric series to functions of bounded variation
JO - Matematičeskie zametki
PY - 1970
SP - 47
EP - 58
VL - 8
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1970_8_1_a5/
LA - ru
ID - MZM_1970_8_1_a5
ER -
%0 Journal Article
%A K. I. Oskolkov
%T The convergence of trigonometric series to functions of bounded variation
%J Matematičeskie zametki
%D 1970
%P 47-58
%V 8
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1970_8_1_a5/
%G ru
%F MZM_1970_8_1_a5
Necessary and sufficient conditions are derived for the convergence of a trigonometric series to a function of bounded variation on the interval $(\alpha,\beta)\subset[-\pi,\pi]$. For the case in which the coefficients satisfy certain conditions, the continuity of the sum function is investigated.
