Maximal-simultaneous Approximation Properties of Faber Series in Weighted Bergman Space
Israfilov D.M. Otarov K.
January 2025Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
Azerbaijan Journal of Mathematics
2025#15Issue 1128 - 143 pp.
In this work, maximal-simultaneous approximation properties of generalized Faber series in weighted Bergman space, defined on bounded continuums of the complex plane, are studied. The error of this approximation in dependence of the best approximation number and the parameters of considered canonical domains is estimated.
generalized Faber series , maximal convergence , quasidisc , simultaneous approximation , weighted Bergman spaces
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Department of Mathematics, Faculty of Science and Letters, Balikesir University, Balikesir, Türkiye
Institute of Mathematics and Mechanics, The Ministry of Science and Education, Baku, Azerbaijan
Department of Mathematics, Physical and Mathematical Faculty, K. Zhubanov Aktobe Regional Univerity, Aktobe, Kazakhstan
Department of Mathematics
Institute of Mathematics and Mechanics
Department of Mathematics
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