Geodesic
The best approximation of functions analytic in the unit circle in weighted Bergman space
Dalʹnevostočnyj matematičeskij žurnal, Tome 24 (2024) no. 1, pp. 55-66

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In this paper, we obtained the exact inequalities between the best approximations of analytical in the unit circle functions and generalized modulus of continuity of the $m$-th order in the weighted Bergman space $B_{2,\gamma}.$ The exact values of $n$-widths of some classes of functions in a weighted Bergman space are calculated. 
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     author = {M. R. Langarshoev and A. G. Aydarmamadov},
     title = {The best approximation of functions analytic in the unit circle in weighted {Bergman} space},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
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     url = {http://geodesic.mathdoc.fr/item/DVMG_2024_24_1_a5/}
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M. R. Langarshoev; A. G. Aydarmamadov. The best approximation of functions analytic in the unit circle in weighted Bergman space. Dalʹnevostočnyj matematičeskij žurnal, Tome 24 (2024) no. 1, pp. 55-66. http://geodesic.mathdoc.fr/item/DVMG_2024_24_1_a5/