FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
The best approximation of functions analytic in the unit circle in weighted Bergman space |
Langarshoev M.R., Aydarmamadov A.G. |
2024, issue 1, P. 55-66 DOI: https://doi.org/10.47910/FEMJ202406 |
Abstract |
| 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. |
Keywords: generalized modulus of continuity, best approximation, weighted Bergman space, complex algebraic polynomial, $n$-widths. |
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References |
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