Artamonov, S.; Runovski, K. V.; Schmeisser, H.-J. Besov spaces with generalized smoothness and summability of multiple Fourier series. (English) Zbl 1523.46023 J. Approx. Theory 284, Article ID 105822, 31 p. (2022). MSC: 46E35 41A17 42B08 42B35 PDFBibTeX XMLCite \textit{S. Artamonov} et al., J. Approx. Theory 284, Article ID 105822, 31 p. (2022; Zbl 1523.46023) Full Text: DOI
Artamonov, S. Yu.; Runovskii, K. V.; Schmeisser, H.-J. Periodic Besov spaces and generalized moduli of smoothness. (English. Russian original) Zbl 1451.42003 Math. Notes 108, No. 4, 603-607 (2020); translation from Mat. Zametki 108, No. 4, 617-621 (2020). MSC: 42A10 30H25 PDFBibTeX XMLCite \textit{S. Yu. Artamonov} et al., Math. Notes 108, No. 4, 603--607 (2020; Zbl 1451.42003); translation from Mat. Zametki 108, No. 4, 617--621 (2020) Full Text: DOI
Artamonov, S.; Runovski, K. V.; Schmeisser, H.-J. Approximation by families of generalized sampling series, realizations of generalized \(\mathcal{K} \)-functionals and generalized moduli of smoothness. (English) Zbl 1442.41004 J. Math. Anal. Appl. 489, No. 1, Article ID 124138, 18 p. (2020). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A17 41A25 41A27 41A35 PDFBibTeX XMLCite \textit{S. Artamonov} et al., J. Math. Anal. Appl. 489, No. 1, Article ID 124138, 18 p. (2020; Zbl 1442.41004) Full Text: DOI
Artamonov, Sergeĭ Yurievich On some constructions of a non-periodic modulus of smoothness related to the Riesz derivative. (English) Zbl 1463.42001 Eurasian Math. J. 9, No. 2, 11-21 (2018). MSC: 42A10 42A05 42A45 42A50 PDFBibTeX XMLCite \textit{S. Y. Artamonov}, Eurasian Math. J. 9, No. 2, 11--21 (2018; Zbl 1463.42001) Full Text: MNR
Artamonov, Sergei Yu. Nonperiodic modulus of smoothness corresponding to the Riesz derivative. (English. Russian original) Zbl 1350.41010 Math. Notes 99, No. 6, 928-931 (2016); translation from Mat. Zametki 99, No. 6, 933-936 (2016). MSC: 41A17 42A10 PDFBibTeX XMLCite \textit{S. Yu. Artamonov}, Math. Notes 99, No. 6, 928--931 (2016; Zbl 1350.41010); translation from Mat. Zametki 99, No. 6, 933--936 (2016) Full Text: DOI
Artamonov, S. Yu. Quality of approximation by Fourier means in terms of general moduli of smoothness. (English. Russian original) Zbl 1325.41006 Math. Notes 98, No. 1, 3-10 (2015); translation from Mat. Zametki 98, No. 1, 3-11 (2015). MSC: 41A17 42A10 PDFBibTeX XMLCite \textit{S. Yu. Artamonov}, Math. Notes 98, No. 1, 3--10 (2015; Zbl 1325.41006); translation from Mat. Zametki 98, No. 1, 3--11 (2015) Full Text: DOI
Artamonov, S. Yu. Direct Jackson-type estimate for the general modulus of smoothness in the nonperiodic case. (English. Russian original) Zbl 1323.41014 Math. Notes 97, No. 5, 811-814 (2015); translation from Mat. Zametki 97, No. 5, 794-797 (2015). MSC: 41A17 30E10 PDFBibTeX XMLCite \textit{S. Yu. Artamonov}, Math. Notes 97, No. 5, 811--814 (2015; Zbl 1323.41014); translation from Mat. Zametki 97, No. 5, 794--797 (2015) Full Text: DOI