A. Serdyuk

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20122025

most citedApproximation by Fourier sums in classes of differentiable functions with high exponents of smoothness

4 citations · 8 across the 13 of their papers we have counts for

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math.CA2025

Estimates of deviations of Fourier sums on Weyl-Nagy classes $W_{β, 1}^{r}$

A. S. Serdyuk, I. V. Sokolenko

We establish estimates for exact upper bounds of deviations of partial Fourier sums $S_{n - 1} (f)$ on classes $W_{β, 1}^{r}, r > 2, β \in R,$ of $2 π$ -periodic functions whose $(r,β…

Estimates of deviations of Fourier sums on Weyl-Nagy classes Wβ,1r​

Estimates of deviations of Fourier sums on Weyl-Nagy classes $W_{β, 1}^{r}$