Asymptotic behavior of best approximations of classes of Poisson integrals of functions from Hω. - A. S. Serdyuk; I. V. Sokolenko (J. Approx. Theory, 2011)

Exact values of Kolmogorov widths of classes of Poisson integrals. - A. S. Serdyuk; V. V. Bodenchuk (J. Approx. Theory, 2013)

Widths of functional classes defined by majorants of generalized moduli of smoothness in the spaces ${ mathcal S}^p$. - Fahreddin Abdullayev; Anatolii Serdyuk; Andrii Shidlich (CoRR, 2020)

Search of the Deviation from the Natural Process Using Stepanets Approach for Classification of Functions. - Oleg Chertov; Ivan Zhuk; Anatolii Serdyuk (IDAACS, 2021)

Direct and inverse theorems on the approximation of almost periodic functions in Besicovitch-Stepanets spaces. - Anatolii Serdyuk; Andrii Shidlich (CoRR, 2021)

Actual problems of the approximation theory in metrics of discrete spaces on sets of summable periodic and almost periodic functions. - Anatolii Serdyuk; Andrii Shidlich (CoRR, 2024)