Geodesic
Diameters of classes of continuous functions in the $L_p$ space
Matematičeskie zametki, Tome 10 (1971) no. 5, pp. 493-500

Voir la notice de l'article provenant de la source Math-Net.Ru

In the $L_p(a,b)$ space the exact values of $n$-diameters $(n=1,2,\dots)$ are found of the class $H_\omega[a,b]$ of the functions $f(x)$ such that $|f(x')-f(x'')|\leqslant\omega(|x'-x''|)$, where $\omega(t)$ is a given continuity module which is convex upwards. 
@article{MZM_1971_10_5_a1,
     author = {N. P. Korneichuk},
     title = {Diameters of classes of continuous functions in the $L_p$ space},
     journal = {Matemati\v{c}eskie zametki},
     pages = {493--500},
     publisher = {mathdoc},
     volume = {10},
     number = {5},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_5_a1/}
}
TY  - JOUR
AU  - N. P. Korneichuk
TI  - Diameters of classes of continuous functions in the $L_p$ space
JO  - Matematičeskie zametki
PY  - 1971
SP  - 493
EP  - 500
VL  - 10
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1971_10_5_a1/
LA  - ru
ID  - MZM_1971_10_5_a1
ER  - 
%0 Journal Article
%A N. P. Korneichuk
%T Diameters of classes of continuous functions in the $L_p$ space
%J Matematičeskie zametki
%D 1971
%P 493-500
%V 10
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1971_10_5_a1/
%G ru
%F MZM_1971_10_5_a1
N. P. Korneichuk. Diameters of classes of continuous functions in the $L_p$ space. Matematičeskie zametki, Tome 10 (1971) no. 5, pp. 493-500. http://geodesic.mathdoc.fr/item/MZM_1971_10_5_a1/