Matematičeskie zametki, Tome 14 (1973) no. 3, pp. 329-338
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G. V. Kirsanova. Relations between upper bounds of absolute values of functions and their higher derivatives. Matematičeskie zametki, Tome 14 (1973) no. 3, pp. 329-338. http://geodesic.mathdoc.fr/item/MZM_1973_14_3_a2/
@article{MZM_1973_14_3_a2,
author = {G. V. Kirsanova},
title = {Relations between upper bounds of absolute values of functions and their higher derivatives},
journal = {Matemati\v{c}eskie zametki},
pages = {329--338},
year = {1973},
volume = {14},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_3_a2/}
}
TY - JOUR
AU - G. V. Kirsanova
TI - Relations between upper bounds of absolute values of functions and their higher derivatives
JO - Matematičeskie zametki
PY - 1973
SP - 329
EP - 338
VL - 14
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1973_14_3_a2/
LA - ru
ID - MZM_1973_14_3_a2
ER -
%0 Journal Article
%A G. V. Kirsanova
%T Relations between upper bounds of absolute values of functions and their higher derivatives
%J Matematičeskie zametki
%D 1973
%P 329-338
%V 14
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1973_14_3_a2/
%G ru
%F MZM_1973_14_3_a2
In this paper we consider functions $f(t)$, $-\infty, which are $n$ times continuously differentiable with a given convex modulus of continuity of the $n$-th derivative. For a certain class of periodic functions we establish a relationship between upper bounds of the absolute values of a function and its $n$-th derivative.
