Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 7, pp. 1051-1057
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V. A. Abilov; F. V. Abilova; M. K. Kerimov. Some issues concerning approximations of functions by Fourier–Bessel sums. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 7, pp. 1051-1057. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_7_a0/
@article{ZVMMF_2013_53_7_a0,
author = {V. A. Abilov and F. V. Abilova and M. K. Kerimov},
title = {Some issues concerning approximations of functions by {Fourier{\textendash}Bessel} sums},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1051--1057},
year = {2013},
volume = {53},
number = {7},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_7_a0/}
}
TY - JOUR
AU - V. A. Abilov
AU - F. V. Abilova
AU - M. K. Kerimov
TI - Some issues concerning approximations of functions by Fourier–Bessel sums
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 2013
SP - 1051
EP - 1057
VL - 53
IS - 7
UR - http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_7_a0/
LA - ru
ID - ZVMMF_2013_53_7_a0
ER -
%0 Journal Article
%A V. A. Abilov
%A F. V. Abilova
%A M. K. Kerimov
%T Some issues concerning approximations of functions by Fourier–Bessel sums
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2013
%P 1051-1057
%V 53
%N 7
%U http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_7_a0/
%G ru
%F ZVMMF_2013_53_7_a0
Some issues concerning the approximation of one-variable functions from the class $\mathbb{L}_2$ by $n$th-order partial sums of Fourier–Bessel series are studied. Several theorems are proved that estimate the best approximation of a function characterized by the generalized modulus of continuity.
