Matematičeskie zametki, Tome 14 (1973) no. 4, pp. 479-486
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N. Temirgaliev. Conditions under which higher derivatives belong to the classes $\varphi(L)$. Matematičeskie zametki, Tome 14 (1973) no. 4, pp. 479-486. http://geodesic.mathdoc.fr/item/MZM_1973_14_4_a2/
@article{MZM_1973_14_4_a2,
author = {N. Temirgaliev},
title = {Conditions under which higher derivatives belong to the classes $\varphi(L)$},
journal = {Matemati\v{c}eskie zametki},
pages = {479--486},
year = {1973},
volume = {14},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_4_a2/}
}
TY - JOUR
AU - N. Temirgaliev
TI - Conditions under which higher derivatives belong to the classes $\varphi(L)$
JO - Matematičeskie zametki
PY - 1973
SP - 479
EP - 486
VL - 14
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1973_14_4_a2/
LA - ru
ID - MZM_1973_14_4_a2
ER -
%0 Journal Article
%A N. Temirgaliev
%T Conditions under which higher derivatives belong to the classes $\varphi(L)$
%J Matematičeskie zametki
%D 1973
%P 479-486
%V 14
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1973_14_4_a2/
%G ru
%F MZM_1973_14_4_a2
In this work we will establish a sufficient condition under which the higher derivatives of $2\pi$-periodic absolutely continuous functions belong to the Orlicz classes $\varphi(L)$; if $\varphi(2t)=O(\varphi(t))$$(t\to\infty)$, the condition is also necessary.
