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Found 5 Documents (Results 1–5)

Sharp inequalities between the best root-mean-square approximations of analytic functions in the disk and some smoothness characteristics in the Bergman space. (English. Russian original) Zbl 1477.41006

Math. Notes 110, No. 2, 248-260 (2021); translation from Mat. Zametki 110, No. 2, 266-281 (2021).
MSC:  41A17 30E10 41A25
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Approximation of functions of a complex variable by Fourier sums in orthogonal systems in \(L_2\). (English. Russian original) Zbl 1462.41004

Russ. Math. 64, No. 6, 56-62 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 6, 65-72 (2020).
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On the best approximation in the mean of functions of a complex variable by Fourier series in the Bergman space. (English. Russian original) Zbl 1443.41009

Russ. Math. 64, No. 2, 66-83 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 2, 74-92 (2020).
MSC:  41A17 41A10 43A50
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Approximation by classical orthogonal polynomials with weight in spaces \(L_{2, \gamma }(a,b)\) and widths of some functional classes. (English. Russian original) Zbl 1443.41003

Russ. Math. 63, No. 12, 32-44 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 12, 37-51 (2019).
MSC:  41A10
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