Matematičeskie zametki, Tome 17 (1975) no. 6, pp. 857-871
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C. G. Slobodnik. Asymptotically differentiable functions of several variables. Matematičeskie zametki, Tome 17 (1975) no. 6, pp. 857-871. http://geodesic.mathdoc.fr/item/MZM_1975_17_6_a3/
@article{MZM_1975_17_6_a3,
author = {C. G. Slobodnik},
title = {Asymptotically differentiable functions of several variables},
journal = {Matemati\v{c}eskie zametki},
pages = {857--871},
year = {1975},
volume = {17},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_6_a3/}
}
TY - JOUR
AU - C. G. Slobodnik
TI - Asymptotically differentiable functions of several variables
JO - Matematičeskie zametki
PY - 1975
SP - 857
EP - 871
VL - 17
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1975_17_6_a3/
LA - ru
ID - MZM_1975_17_6_a3
ER -
%0 Journal Article
%A C. G. Slobodnik
%T Asymptotically differentiable functions of several variables
%J Matematičeskie zametki
%D 1975
%P 857-871
%V 17
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1975_17_6_a3/
%G ru
%F MZM_1975_17_6_a3
We show that if a real function $F(x)$ is defined in an open convex set $Q\subset R_n$ and satisfies an asymptotic Lipschitz condition, then it must satisfy a Lipschitz condition. The result is used for investigating asymptotically differentiable functions.
