Matematičeskie zametki, Tome 15 (1974) no. 1, pp. 15-20
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V. È. Gheit. Order of $(C,\alpha)$-approximations on certain classes of periodic functions. Matematičeskie zametki, Tome 15 (1974) no. 1, pp. 15-20. http://geodesic.mathdoc.fr/item/MZM_1974_15_1_a1/
@article{MZM_1974_15_1_a1,
author = {V. \`E. Gheit},
title = {Order of $(C,\alpha)$-approximations on certain classes of periodic functions},
journal = {Matemati\v{c}eskie zametki},
pages = {15--20},
year = {1974},
volume = {15},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_1_a1/}
}
TY - JOUR
AU - V. È. Gheit
TI - Order of $(C,\alpha)$-approximations on certain classes of periodic functions
JO - Matematičeskie zametki
PY - 1974
SP - 15
EP - 20
VL - 15
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1974_15_1_a1/
LA - ru
ID - MZM_1974_15_1_a1
ER -
%0 Journal Article
%A V. È. Gheit
%T Order of $(C,\alpha)$-approximations on certain classes of periodic functions
%J Matematičeskie zametki
%D 1974
%P 15-20
%V 15
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1974_15_1_a1/
%G ru
%F MZM_1974_15_1_a1
In the spaces $L_{2\pi}$ and $C_{2\pi}$, the orders of upper bounds for the deviations of a function and its conjugate from the Cesaro means of their Fourier series are obtained on a class of functions with a given majorant of their k-th modulus of smoothness.
