Matematičeskie zametki, Tome 15 (1974) no. 1, pp. 79-90
Citer cet article
E. A. Sevast'yanov. Dependence of differential properties of a function on the speed of its rational approximations in the metrics of $L_p$. Matematičeskie zametki, Tome 15 (1974) no. 1, pp. 79-90. http://geodesic.mathdoc.fr/item/MZM_1974_15_1_a8/
@article{MZM_1974_15_1_a8,
author = {E. A. Sevast'yanov},
title = {Dependence of differential properties of a~function on the speed of its rational approximations in the metrics of $L_p$},
journal = {Matemati\v{c}eskie zametki},
pages = {79--90},
year = {1974},
volume = {15},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_1_a8/}
}
TY - JOUR
AU - E. A. Sevast'yanov
TI - Dependence of differential properties of a function on the speed of its rational approximations in the metrics of $L_p$
JO - Matematičeskie zametki
PY - 1974
SP - 79
EP - 90
VL - 15
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1974_15_1_a8/
LA - ru
ID - MZM_1974_15_1_a8
ER -
%0 Journal Article
%A E. A. Sevast'yanov
%T Dependence of differential properties of a function on the speed of its rational approximations in the metrics of $L_p$
%J Matematičeskie zametki
%D 1974
%P 79-90
%V 15
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1974_15_1_a8/
%G ru
%F MZM_1974_15_1_a8
We establish the existence almost everywhere on $[0,1]$ of a generalized differential of a given order for a function which can be sufficiently well approximated by rational functions in the metrics of $L_p[0,1]$ ($0); we will clearly express the metric dimension of the set of points at which the function is not differentiable.
