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Found 21 Documents (Results 1–21)

On one generalized translation and the corresponding inequality of different metrics. (English. Russian original) Zbl 1523.42001

Proc. Steklov Inst. Math. 319, Suppl. 1, S30-S42 (2022); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 4, 40-53 (2022).
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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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On the estimates of widths of the classes of functions defined by the generalized moduli of continuity and majorants in the weighted space \(L_{2,x}(0, 1)\). (English. Russian original) Zbl 1435.41029

Ukr. Math. J. 71, No. 2, 202-214 (2019); translation from Ukr. Mat. Zh. 71, No. 2, 179-189 (2019).
MSC:  41A46 46E35
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Upper bounds for the approximation of certain classes of functions of a complex variable by Fourier series in the space \(L_2\) and \(n\)-widths. (English. Russian original) Zbl 1397.42001

Math. Notes 103, No. 4, 656-668 (2018); translation from Mat. Zametki 103, No. 4, 617-631 (2018).
MSC:  42A10 41A17 41A46
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On sharp estimates of the convergence of double Fourier-Bessel series. (English. Russian original) Zbl 1384.42006

Comput. Math. Math. Phys. 57, No. 11, 1735-1740 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 11, 1765-1770 (2017).
MSC:  42B05 41A25 42C10
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On some estimates for best approximations of bivariate functions by Fourier-Jacobi sums in the mean. (English. Russian original) Zbl 1382.41023

Comput. Math. Math. Phys. 57, No. 10, 1559-1576 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 10, 1581-1599 (2017).
MSC:  41A46 42A10
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Sharp estimates for the convergence rate of Fourier-Bessel series. (English. Russian original) Zbl 1326.33006

Comput. Math. Math. Phys. 55, No. 6, 907-916 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 6, 917-927 (2015).
MSC:  33C10 41A46
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On the best approximation in the mean by algebraic polynomials with weight and the exact values of widths for the classes of functions. (English. Ukrainian original) Zbl 1309.41015

Ukr. Math. J. 65, No. 12, 1774-1792 (2014); translation from Ukr. Mat. Zh. 65, No. 12, 1604-1621 (2013).
MSC:  41A46
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