Geodesic
Diameters of certain classes of analytic functions
Matematičeskie zametki, Tome 22 (1977) no. 2, pp. 285-295 
L. V. Taikov. Diameters of certain classes of analytic functions. Matematičeskie zametki, Tome 22 (1977) no. 2, pp. 285-295. http://geodesic.mathdoc.fr/item/MZM_1977_22_2_a12/
@article{MZM_1977_22_2_a12,
     author = {L. V. Taikov},
     title = {Diameters of certain classes of analytic functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {285--295},
     year = {1977},
     volume = {22},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_2_a12/}
}
TY  - JOUR
AU  - L. V. Taikov
TI  - Diameters of certain classes of analytic functions
JO  - Matematičeskie zametki
PY  - 1977
SP  - 285
EP  - 295
VL  - 22
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MZM_1977_22_2_a12/
LA  - ru
ID  - MZM_1977_22_2_a12
ER  - 
%0 Journal Article
%A L. V. Taikov
%T Diameters of certain classes of analytic functions
%J Matematičeskie zametki
%D 1977
%P 285-295
%V 22
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_2_a12/
%G ru
%F MZM_1977_22_2_a12

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

Exact values have been found, for the diameters in the sense of Kolmogorov of certain classes of functions with a Hardy metric, analytic in the unit circle, whose boundary values admit of a representation by a convolution or the averaged modulus of smoothness of their boundary values is majorized by a given function. In passing, certain extremal properties of trigonometric polynomials are established.