6. Papers

Widths of certain classes of analytic functions in the unit disk in a weighted Bergman space

Mirgand Sh. Shabozov
Scopus Author ID: 55977604300
Researcher ID: 743643
1. Tajik National University, Dushanbe, Tajikistan
shabozov@mail.ru
Mukim S. Saidusainov
Scopus Author ID: 57201878940
Researcher ID: 812775
1. University of Central Asia, Dushanbe, Tajikistan
smuqim@gmail.com
Khuromon M. Khuromonov
Scopus Author ID: 57216297286
Researcher ID: 1181519
1. International University of Tourism and Entrepreneurship of Tajikistan, Dushanbe, Tajikistan
khuromon@mail.ru
The material was received by the Editorial Board: 20.05.2025

In the weighted Bergman space $B_{q,\gamma}$, $(1\le q\le\infty)$, exact values of certain well-known $n$-widths from approximation theory are obtained for specific classes of functions analytic in the unit disk.

УДК 517.5

Widths of certain classes of analytic functions in the unit disk in a weighted Bergman space
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Keywords: best approximation, modulus of continuity, $n$-widths, majorant.


References: Shabozov M.Sh., Saidusainov M.S., Khuromonov Kh.M. Widths of certain classes of analytic functions in the unit disk in a weighted Bergman space. Mat. Trudy. 2026, 29, № 2. P. 176–199. DOI: 10.25205/1560-750X-2026-29-2-176-199