Malykhin, Yu.; Ryutin, K. Polynomial approximation on disjoint segments and amplification of approximation. (English) Zbl 07806806 J. Approx. Theory 298, Article ID 106010, 12 p. (2024). MSC: 41A10 30E10 30C10 15A03 PDFBibTeX XMLCite \textit{Yu. Malykhin} and \textit{K. Ryutin}, J. Approx. Theory 298, Article ID 106010, 12 p. (2024; Zbl 07806806) Full Text: DOI arXiv
Malykhin, Yuri; Ryutin, Konstantin; Zaitseva, Tatyana Recovery of regular ridge functions on the ball. (English) Zbl 1528.41014 Constr. Approx. 56, No. 3, 687-708 (2022). MSC: 41A10 41A63 65D15 PDFBibTeX XMLCite \textit{Y. Malykhin} et al., Constr. Approx. 56, No. 3, 687--708 (2022; Zbl 1528.41014) Full Text: DOI arXiv
Konyagin, S. V.; Malykhin, Yu. V.; Ryutin, K. S. Letter to the editor: “On exact recovery of sparse vectors from linear measurements”. (English) Zbl 1395.15013 Math. Notes 96, No. 3, 462 (2014). MSC: 15A29 94A12 PDFBibTeX XMLCite \textit{S. V. Konyagin} et al., Math. Notes 96, No. 3, 462 (2014; Zbl 1395.15013) Full Text: DOI
Konyagin, S. V.; Malykhin, Yu. V.; Ryutin, K. S. On exact recovery of sparse vectors from linear measurements. (English. Russian original) Zbl 1323.15013 Math. Notes 94, No. 1, 107-114 (2013); translation from Mat. Zametki 94, No. 2, 122-129 (2013). MSC: 15A29 94A12 PDFBibTeX XMLCite \textit{S. V. Konyagin} et al., Math. Notes 94, No. 1, 107--114 (2013; Zbl 1323.15013); translation from Mat. Zametki 94, No. 2, 122--129 (2013) Full Text: DOI
Konyagin, S. V.; Malykhin, Y. V. Basis sets in Banach spaces. (English) Zbl 1253.46014 Pardalos, Panos M. (ed.) et al., Nonlinear analysis. Stability, approximation, and inequalities. In honor of Themistocles M. Rassias on the occasion of his 60th birthday. New York, NY: Springer (ISBN 978-1-4614-3497-9/hbk; 978-1-4614-3498-6/ebook). Springer Optimization and Its Applications 68, 381-386 (2012). MSC: 46B15 PDFBibTeX XMLCite \textit{S. V. Konyagin} and \textit{Y. V. Malykhin}, Springer Optim. Appl. 68, 381--386 (2012; Zbl 1253.46014) Full Text: DOI
Malykhin, Yu. V. Bounds for exponential sums modulo \(p^2\). (English. Russian original) Zbl 1204.11133 J. Math. Sci., New York 146, No. 2, 5686-5696 (2007); translation from Fundam. Prikl. Mat. 11, No. 6, 81-94 (2005). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11L07 PDFBibTeX XMLCite \textit{Yu. V. Malykhin}, J. Math. Sci., New York 146, No. 2, 5686--5696 (2007; Zbl 1204.11133); translation from Fundam. Prikl. Mat. 11, No. 6, 81--94 (2005) Full Text: DOI
Malykhin, Yu. V. Estimates of trigonometric sums modulo \(p^r\). (English. Russian original) Zbl 1183.11048 Math. Notes 80, No. 5, 748-752 (2006); translation from Mat. Zametki 80, No. 5, 793-796 (2006). Reviewer: Olaf Ninnemann (Berlin) MSC: 11L07 PDFBibTeX XMLCite \textit{Yu. V. Malykhin}, Math. Notes 80, No. 5, 748--752 (2006; Zbl 1183.11048); translation from Mat. Zametki 80, No. 5, 793--796 (2006) Full Text: DOI