Geodesic
On the best simultaneous approximation of functions in the Bergman space $B_{2}$
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2023), pp. 71-81

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

In the work extremal problems related to the best simultaneous polynomial approximation of analytic functions in the unit disc belonging to the Bergman space $B_{2}$ is studied. Here, a number of exact theorems and the exact values of the upper bounds of the best joint approximations of functions and its consecutive derivatives polynomials and their corresponding derivatives on some classes of complex functions belonging to the Bergman space $B_{2}$ are obtained.
Keywords: extremal tasks, simultaneous approximation of functions, modulus of continuity, upper bound, Bergman space. 
@article{IVM_2023_5_a7,
     author = {Kh. M. Khuromonov},
     title = {On the best simultaneous approximation of functions in the {Bergman} space $B_{2}$},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {71--81},
     publisher = {mathdoc},
     number = {5},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_5_a7/}
}
TY  - JOUR
AU  - Kh. M. Khuromonov
TI  - On the best simultaneous approximation of functions in the Bergman space $B_{2}$
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2023
SP  - 71
EP  - 81
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2023_5_a7/
LA  - ru
ID  - IVM_2023_5_a7
ER  - 
%0 Journal Article
%A Kh. M. Khuromonov
%T On the best simultaneous approximation of functions in the Bergman space $B_{2}$
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2023
%P 71-81
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2023_5_a7/
%G ru
%F IVM_2023_5_a7
Kh. M. Khuromonov. On the best simultaneous approximation of functions in the Bergman space $B_{2}$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2023), pp. 71-81. http://geodesic.mathdoc.fr/item/IVM_2023_5_a7/