Geodesic
Diameters of some classes of differentiable periodic functions in the space $L$
Matematičeskie zametki, Tome 17 (1975) no. 4, pp. 531-543.

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

In this paper, diameters in the sense of A. N. Kolmogorov are found for the class of $2\pi$-periodic functions $W^{(r)}H_\omega$ in the space $L$, that is, $d_{2n-1}(W^{(r)}H_\omega, L)$, where $\omega(t)$ is an upper-convex regular modulus of continuity ($r,n=1,2,\dots$). An estimate from below is found for diameters in the sense of I. M. Gel'fand, that is, $d^{2n-1}(W^{(r)}H_\omega, L)$ 
@article{MZM_1975_17_4_a4,
     author = {V. P. Motornyi and V. I. Ruban},
     title = {Diameters of some classes of differentiable periodic functions in the space $L$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {531--543},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_4_a4/}
}
TY  - JOUR
AU  - V. P. Motornyi
AU  - V. I. Ruban
TI  - Diameters of some classes of differentiable periodic functions in the space $L$
JO  - Matematičeskie zametki
PY  - 1975
SP  - 531
EP  - 543
VL  - 17
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1975_17_4_a4/
LA  - ru
ID  - MZM_1975_17_4_a4
ER  - 
%0 Journal Article
%A V. P. Motornyi
%A V. I. Ruban
%T Diameters of some classes of differentiable periodic functions in the space $L$
%J Matematičeskie zametki
%D 1975
%P 531-543
%V 17
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1975_17_4_a4/
%G ru
%F MZM_1975_17_4_a4
V. P. Motornyi; V. I. Ruban. Diameters of some classes of differentiable periodic functions in the space $L$. Matematičeskie zametki, Tome 17 (1975) no. 4, pp. 531-543. http://geodesic.mathdoc.fr/item/MZM_1975_17_4_a4/