Potseiko, P. G.; Rovba, Y. A. On estimates of uniform approximations by rational Fourier-Chebyshev integral operators for a certain choice of poles. (English. Russian original) Zbl 1518.42004 Math. Notes 113, No. 6, 815-830 (2023); translation from Mat. Zametki 113, No. 6, 876-894 (2023). MSC: 42A10 41A20 41A50 PDFBibTeX XMLCite \textit{P. G. Potseiko} and \textit{Y. A. Rovba}, Math. Notes 113, No. 6, 815--830 (2023; Zbl 1518.42004); translation from Mat. Zametki 113, No. 6, 876--894 (2023) Full Text: DOI
Mirotin, A. R.; Kovaleva, I. S. Discrete-time systems with frequency response of the Markov-Stieltjes type. (English. Russian original) Zbl 07309094 Russ. Math. 64, No. 6, 29-39 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 6, 36-47 (2020). MSC: 47Bxx 42Bxx 44Axx PDFBibTeX XMLCite \textit{A. R. Mirotin} and \textit{I. S. Kovaleva}, Russ. Math. 64, No. 6, 29--39 (2020; Zbl 07309094); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 6, 36--47 (2020) Full Text: DOI
Rovba, E. A.; Potseiko, P. G. On rational approximation of Markov functions by partial sums of Fourier series on a Chebyshev-Markov system. (English. Russian original) Zbl 1451.30074 Math. Notes 108, No. 4, 566-578 (2020); translation from Mat. Zametki 108, No. 4, 572-587 (2020). MSC: 30E10 42A20 PDFBibTeX XMLCite \textit{E. A. Rovba} and \textit{P. G. Potseiko}, Math. Notes 108, No. 4, 566--578 (2020; Zbl 1451.30074); translation from Mat. Zametki 108, No. 4, 572--587 (2020) Full Text: DOI
Mirotin, A. R.; Kobalëva, I. S. The Markov-Stieltjes transform of measures and discrete time systems. (Russian. English summary) Zbl 1464.94013 Probl. Fiz. Mat. Tekh. 2019, No. 1(38), 56-60 (2019). MSC: 94A12 93E11 44A15 PDFBibTeX XMLCite \textit{A. R. Mirotin} and \textit{I. S. Kobalëva}, Probl. Fiz. Mat. Tekh. 2019, No. 1(38), 56--60 (2019; Zbl 1464.94013) Full Text: MNR
Arakelyan, Avetik; Shahgholian, Henrik; Prajapat, Jyotshana V. Two- and multi-phase quadrature surfaces. (English) Zbl 1372.35375 Commun. Pure Appl. Anal. 16, No. 6, 2023-2045 (2017). MSC: 35R35 31A05 31B05 31B20 PDFBibTeX XMLCite \textit{A. Arakelyan} et al., Commun. Pure Appl. Anal. 16, No. 6, 2023--2045 (2017; Zbl 1372.35375) Full Text: DOI arXiv
Mirotin, A. R.; Kovalyova, I. S. The Markov-Stieltjes transform on Hardy and Lebesgue spaces. (English) Zbl 1360.44004 Integral Transforms Spec. Funct. 27, No. 12, 995-1007 (2016). MSC: 44A15 47B35 42B20 PDFBibTeX XMLCite \textit{A. R. Mirotin} and \textit{I. S. Kovalyova}, Integral Transforms Spec. Funct. 27, No. 12, 995--1007 (2016; Zbl 1360.44004) Full Text: DOI arXiv
Pekarskii, A. A. Approximation to the function \(z^\alpha\) by rational fractions in a domain with zero external angle. (English. Russian original) Zbl 1283.41012 Math. Notes 91, No. 5, 714-724 (2012); translation from Math. Zametki 91, No. 5, 761-772 (2012). MSC: 41A20 41A10 30E10 PDFBibTeX XMLCite \textit{A. A. Pekarskii}, Math. Notes 91, No. 5, 714--724 (2012; Zbl 1283.41012); translation from Math. Zametki 91, No. 5, 761--772 (2012) Full Text: DOI
Vyacheslavov, N. S.; Mochalina, E. P. Rational approximations of functions of Markov-Stieltjes type in Hardy spaces \(H^p\), \(0 < p \leq \infty\). (English. Russian original) Zbl 1304.30049 Mosc. Univ. Math. Bull. 63, No. 4, 125-134 (2008); translation from Vest. Mosk. Univ. Mat. Mekh. 63, No. 4, 3-13 (2008). MSC: 30E10 41A20 PDFBibTeX XMLCite \textit{N. S. Vyacheslavov} and \textit{E. P. Mochalina}, Mosc. Univ. Math. Bull. 63, No. 4, 125--134 (2008; Zbl 1304.30049); translation from Vest. Mosk. Univ. Mat. Mekh. 63, No. 4, 3--13 (2008) Full Text: DOI
Stahl, Herbert R. Best uniform rational approximation of \(x^ \alpha\) on \([0,1]\). (English) Zbl 1077.41012 Acta Math. 190, No. 2, 241-306 (2003). Reviewer: Marcus Stiemer (Dortmund) MSC: 41A20 41A21 41A25 41A44 PDFBibTeX XMLCite \textit{H. R. Stahl}, Acta Math. 190, No. 2, 241--306 (2003; Zbl 1077.41012) Full Text: DOI arXiv
Pekarskii, A. A.; Rovba, E. A. Uniform approximations of Stieltjes functions by orthogonal projection on the set of rational functions. (English. Russian original) Zbl 0978.30025 Math. Notes 65, No. 3, 302-307 (1999); translation from Mat. Zametki 65, No. 3, 362-368 (1999). MSC: 30E10 30E15 30E20 PDFBibTeX XMLCite \textit{A. A. Pekarskii} and \textit{E. A. Rovba}, Math. Notes 65, No. 3, 302--307 (1999; Zbl 0978.30025); translation from Mat. Zametki 65, No. 3, 362--368 (1999) Full Text: DOI