Matematičeskie zametki, Tome 9 (1971) no. 5, pp. 495-500
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I. M. Kolodii; F. Hil'debrand. Some properties of the modulus of continuity. Matematičeskie zametki, Tome 9 (1971) no. 5, pp. 495-500. http://geodesic.mathdoc.fr/item/MZM_1971_9_5_a2/
@article{MZM_1971_9_5_a2,
author = {I. M. Kolodii and F. Hil'debrand},
title = {Some properties of the modulus of continuity},
journal = {Matemati\v{c}eskie zametki},
pages = {495--500},
year = {1971},
volume = {9},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_5_a2/}
}
TY - JOUR
AU - I. M. Kolodii
AU - F. Hil'debrand
TI - Some properties of the modulus of continuity
JO - Matematičeskie zametki
PY - 1971
SP - 495
EP - 500
VL - 9
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1971_9_5_a2/
LA - ru
ID - MZM_1971_9_5_a2
ER -
%0 Journal Article
%A I. M. Kolodii
%A F. Hil'debrand
%T Some properties of the modulus of continuity
%J Matematičeskie zametki
%D 1971
%P 495-500
%V 9
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1971_9_5_a2/
%G ru
%F MZM_1971_9_5_a2
Necessary and sufficient conditions are derived for the continuity and semiadditivity of the modulus of continuity of a function $f(x)$ given on a compact $\Omega$ in $n$-dimensional euclidean space.
