M. Sh. Shabozov, A. A. Shabozova, E. U. Kadamshoev, “Value of $n$-width of some classes of analytic functions in the Bergman space $B_{2}$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, Number 3,Pages 11

Mathematics

Value of $n$-width of some classes of analytic functions in the Bergman space $B_{2}$

M. Sh. Shabozov^a, A. A. Shabozova^a, E. U. Kadamshoev^b

^a Tajik National University, Dushanbe
^b Technology University of Tajikistan, Dushanbe

Abstract: The sharp values of some known $n$-widths of classes of functions analytical in a unit disk in the Bergman space given by characteristic of smoothness $\Lambda_m(f)$ and majorant $\Phi$ satisfying certain restrictions were found.

Key words: the best polynomial approximation, the characteristic smoothness, Bergman space, $n$-widths.

UDC: 517.5

Received: 15.03.2023

DOI: 10.55959/MSU0579-9368-1-65-3-2