7 citations · 16 across the 24 of their papers we have counts for
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Estimates of best -term trigonometric approximation of classes of analytic functions
A. S. Serdyuk, T. A. Stepaniuk
In metric of spaces , we obtain exact in order estimates of best -term trigonometric approximations of classes of convolutions of periodic functions,…
Order estimates of the best orthogonal trigonometric approximations of classes of convolutions of periodic functions of not high smoothness
A. S. Serdyuk, T. A. Stepaniuk
We obtain order estimates for the best uniform orthogonal trigonometric approximations of -periodic functions, whose -derivatives belong to unit balls of spaces $L_{p},…
Exact values of Kolmogorov widths of classes of analytic functions
A. S. Serdyuk, V. V. Bodenchuk
We prove that kernels of analytic functions of kind , , , satisfies Kus…
Order estimates of the best approximations and approximations of Fourier sums of classes of convolutions of periodic functions of not high smoothness in uniform metric
A. S. Serdyuk, T. A. Stepaniuk
We obtain exact for order estimates of best uniform approximations and uniform approximations by Fourier sums of classes of convolutions the periodic functions belong to unit balls…