Serdyuk, Anatolii S.; Sokolenko, Igor V. Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness. (English. Ukrainian original) Zbl 1462.41013 J. Math. Sci., New York 252, No. 4, 526-540 (2021); translation from Ukr. Mat. Visn. 17, No. 3, 396-413 (2020). Reviewer: Richard A. Zalik (Auburn) MSC: 41A50 42A10 PDFBibTeX XMLCite \textit{A. S. Serdyuk} and \textit{I. V. Sokolenko}, J. Math. Sci., New York 252, No. 4, 526--540 (2021; Zbl 1462.41013); translation from Ukr. Mat. Visn. 17, No. 3, 396--413 (2020) Full Text: DOI arXiv
Serdyuk, A. S.; Stepanyuk, T. A. Order estimates for the best approximations and approximations by Fourier sums in the classes of convolutions of periodic functions of low smoothness in the uniform metric. (English. Ukrainian original) Zbl 1350.42002 Ukr. Math. J. 66, No. 12, 1862-1882 (2015); translation from Ukr. Mat. Zh. 66, No. 12, 1658-1675 (2014). Reviewer: Julià Cufí (Bellaterra) MSC: 42A10 42A20 PDFBibTeX XMLCite \textit{A. S. Serdyuk} and \textit{T. A. Stepanyuk}, Ukr. Math. J. 66, No. 12, 1862--1882 (2015; Zbl 1350.42002); translation from Ukr. Mat. Zh. 66, No. 12, 1658--1675 (2014) Full Text: DOI
Hrabova, U. Z.; Serdyuk, A. S. Order estimates for the best approximations and approximations by Fourier sums of the classes of \((\psi, \beta)\)-differential functions. (English. Ukrainian original) Zbl 1327.42003 Ukr. Math. J. 65, No. 9, 1319-1331 (2014); translation from Ukr. Mat. Zh. 65, No. 9, 1186-1197 (2013). MSC: 42A10 42A16 PDFBibTeX XMLCite \textit{U. Z. Hrabova} and \textit{A. S. Serdyuk}, Ukr. Math. J. 65, No. 9, 1319--1331 (2014; Zbl 1327.42003); translation from Ukr. Mat. Zh. 65, No. 9, 1186--1197 (2013) Full Text: DOI arXiv