A. Serdyuk

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20112025

most citedApproximation of classes of analytic functions by de la Vallee Poussin sums in uniform metric

7 citations · 16 across the 24 of their papers we have counts for

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math.CA2019

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals

Anatoly Serdyuk, Tetiana Stepaniuk

In this paper we establish Lebesgue-type inequalities for $2 π$ -periodic functions $f$ , which are defined by generalized Poisson integrals of the functions $φ$ from $L_{p}$ , $1\leq…

math.CA2019★ 4 cited

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

A. S. Serdyuk, I. V. Sokolenko

We find asymptotic equalities for the exact upper bounds of approximations by Fourier sums of Weyl-Nagy classes $W_{β, p}^{r}, 1 \leq p \leq \infty,$ for rapidly growing exponents of smoot…