Babenko, V. F.; Parfinovych, N. V.; Skorokhodov, D. S. Optimal recovery of operator sequences. (English) Zbl 1502.41008 Mat. Stud. 56, No. 2, 193-207 (2021). MSC: 41A50 46A45 47N10 PDFBibTeX XMLCite \textit{V. F. Babenko} et al., Mat. Stud. 56, No. 2, 193--207 (2021; Zbl 1502.41008) Full Text: DOI arXiv
Baranetskij, Ya. O.; Demkiv, I. I.; Kopach, M. I.; Solomko, A. V. Interpolation rational integral fraction of the Hermitian-type on a continual set of nodes. (English) Zbl 1506.41001 Mat. Stud. 56, No. 2, 185-192 (2021). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A05 41A10 40A15 PDFBibTeX XMLCite \textit{Ya. O. Baranetskij} et al., Mat. Stud. 56, No. 2, 185--192 (2021; Zbl 1506.41001) Full Text: DOI
Dmytryshyn, M. I. Approximation by interpolation spectral subspaces of operators with discrete spectrum. (English) Zbl 1495.47013 Mat. Stud. 55, No. 2, 162-170 (2021). MSC: 47A10 41A17 47A58 47F10 PDFBibTeX XMLCite \textit{M. I. Dmytryshyn}, Mat. Stud. 55, No. 2, 162--170 (2021; Zbl 1495.47013) Full Text: DOI
Pahirya, M. M. A continuant and an estimate of the remainder of the interpolating continued \(C\)-fraction. (English) Zbl 1456.30008 Mat. Stud. 54, No. 1, 32-45 (2020). MSC: 30B70 40A15 41A05 65D05 PDFBibTeX XMLCite \textit{M. M. Pahirya}, Mat. Stud. 54, No. 1, 32--45 (2020; Zbl 1456.30008) Full Text: DOI
Antonova, T. M.; Filevych, P. V. Truncation error bounds for branched continued fraction whose partial denominators are equal to unity. (English) Zbl 1461.11107 Mat. Stud. 54, No. 1, 3-14 (2020). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11J70 32A17 41A25 PDFBibTeX XMLCite \textit{T. M. Antonova} and \textit{P. V. Filevych}, Mat. Stud. 54, No. 1, 3--14 (2020; Zbl 1461.11107) Full Text: DOI
Senio, Petro S. Matrix representation of Taylor’s formula for mappings in finite dimensional spaces. (English) Zbl 1423.41047 Mat. Stud. 51, No. 1, 92-106 (2019). MSC: 41A58 PDFBibTeX XMLCite \textit{P. S. Senio}, Mat. Stud. 51, No. 1, 92--106 (2019; Zbl 1423.41047) Full Text: DOI
Gembars’kyĭ, M. V.; Gembars’ka, S. B.; Solich, K. V. The best approximations and widths of the classes of periodical functions of one and several variables in the space \(B_{\infty, 1}\). (Ukrainian. English summary) Zbl 1423.41042 Mat. Stud. 51, No. 1, 74-85 (2019). MSC: 41A50 41A46 PDFBibTeX XMLCite \textit{M. V. Gembars'kyĭ} et al., Mat. Stud. 51, No. 1, 74--85 (2019; Zbl 1423.41042) Full Text: DOI
Baranetskij, Ya. O.; Demkiv, I. I.; Kopach, M. I.; Obshta, A. F. The interpolation functional polynomial: the analogue of the Taylor formula. (English) Zbl 1411.41003 Mat. Stud. 50, No. 2, 198-203 (2018). MSC: 41A05 PDFBibTeX XMLCite \textit{Ya. O. Baranetskij} et al., Mat. Stud. 50, No. 2, 198--203 (2018; Zbl 1411.41003) Full Text: DOI
Maslyuchenko, V. K.; Voloshyn, H. A.; Mel’nyk, V. S. Hahn’s pairs and zero inverse problem. (Ukrainian. English summary) Zbl 1426.54018 Mat. Stud. 48, No. 1, 74-81 (2017). MSC: 54C30 41A10 54B10 54C05 54C08 54D30 PDFBibTeX XMLCite \textit{V. K. Maslyuchenko} et al., Mat. Stud. 48, No. 1, 74--81 (2017; Zbl 1426.54018) Full Text: DOI
Maslyuchenko, V. K.; Voloshyn, H. A. The analogue of Bernstein’s inverse theorem for the one class of the space of sequences. (Ukrainian. English summary) Zbl 1421.46005 Mat. Stud. 47, No. 2, 160-168 (2017). MSC: 46A45 41A27 PDFBibTeX XMLCite \textit{V. K. Maslyuchenko} and \textit{H. A. Voloshyn}, Mat. Stud. 47, No. 2, 160--168 (2017; Zbl 1421.46005) Full Text: DOI
Shavala, O. V. On some approximation properties of the Bessel functions of order \(-5/2\). (Russian. English summary) Zbl 1336.30005 Mat. Stud. 43, No. 2, 180-184 (2015). MSC: 30B60 30D20 33C10 41A30 PDFBibTeX XMLCite \textit{O. V. Shavala}, Mat. Stud. 43, No. 2, 180--184 (2015; Zbl 1336.30005) Full Text: DOI
Symotyuk, M. M. Metric estimates of the characteristic determinant of an interpolation problem with nodes, one of which is multiple, for a linear partial differential equation. (Russian. English summary) Zbl 1342.35023 Mat. Stud. 43, No. 1, 88-93 (2015). MSC: 35B10 35E20 41A05 PDFBibTeX XMLCite \textit{M. M. Symotyuk}, Mat. Stud. 43, No. 1, 88--93 (2015; Zbl 1342.35023)
Voloshyn, H. A.; Maslyuchenko, V. K. On linear interpolation of vector valued functions and its applications. (Ukrainian. English summary) Zbl 1326.41018 Mat. Stud. 42, No. 2, 129-133 (2014). MSC: 41A15 46E10 54C30 PDFBibTeX XMLCite \textit{H. A. Voloshyn} and \textit{V. K. Maslyuchenko}, Mat. Stud. 42, No. 2, 129--133 (2014; Zbl 1326.41018)
Shidlich, A. L.; Chaichenko, S. O. Some extremal problems in the Orlicz spaces. (Russian. English summary) Zbl 1321.41051 Mat. Stud. 42, No. 1, 21-32 (2014). MSC: 41A65 26A42 46E30 PDFBibTeX XMLCite \textit{A. L. Shidlich} and \textit{S. O. Chaichenko}, Mat. Stud. 42, No. 1, 21--32 (2014; Zbl 1321.41051)
Chernetska, L. O. Generalized moment representations and Padé approximants of analytic two-variable functions. (Russian. English summary) Zbl 1311.41010 Mat. Stud. 41, No. 2, 201-213 (2014). MSC: 41A21 PDFBibTeX XMLCite \textit{L. O. Chernetska}, Mat. Stud. 41, No. 2, 201--213 (2014; Zbl 1311.41010)
Mironyuk, V. V.; Yanchenko, S. Ya. Approximation of functions from generalized Nikol’skii-Besov classes by functions in Lebesgue spaces. (Russian. English summary) Zbl 1298.41035 Mat. Stud. 39, No. 2, 190-202 (2013). MSC: 41A30 PDFBibTeX XMLCite \textit{V. V. Mironyuk} and \textit{S. Ya. Yanchenko}, Mat. Stud. 39, No. 2, 190--202 (2013; Zbl 1298.41035)
Voloshyn, G. A.; Maslyuchenko, V. K. Comparability of some generalization of the inverse Bernstein theorem to \(F\)-spaces. (Ukrainian. English summary) Zbl 1298.41030 Mat. Stud. 35, No. 2, 165-171 (2011). MSC: 41A27 46E15 PDFBibTeX XMLCite \textit{G. A. Voloshyn} and \textit{V. K. Maslyuchenko}, Mat. Stud. 35, No. 2, 165--171 (2011; Zbl 1298.41030)
Stasyuk, S. A. Approximation of the classes \(B^{\omega}_{p,\theta}\) of periodic functions of several variables by polynomials with a spectrum in cubic domains. (Ukrainian. English, Russian summary) Zbl 1226.42002 Mat. Stud. 35, No. 1, 66-73 (2011). MSC: 42A10 41A25 41A63 PDFBibTeX XMLCite \textit{S. A. Stasyuk}, Mat. Stud. 35, No. 1, 66--73 (2011; Zbl 1226.42002)
Bihun, O.; Prytula, M. The rank of projection-algebraic representations of some differential operators. (English. Russian summary) Zbl 1228.47021 Mat. Stud. 35, No. 1, 9-21 (2011). MSC: 47A58 41A28 34A45 47E05 PDFBibTeX XMLCite \textit{O. Bihun} and \textit{M. Prytula}, Mat. Stud. 35, No. 1, 9--21 (2011; Zbl 1228.47021) Full Text: arXiv
Savchuk, V. V.; Savchuk, M. V.; Chaichenko, S. O. Approximation of analytic functions by de la Vallée Poussin sums. (Ukrainian. English summary) Zbl 1224.41026 Mat. Stud. 34, No. 2, 207-219 (2010). MSC: 41A10 PDFBibTeX XMLCite \textit{V. V. Savchuk} et al., Mat. Stud. 34, No. 2, 207--219 (2010; Zbl 1224.41026)
Voloshyn, H. A.; Maslyuchenko, V. K. The functional generalization of one Bernstein theorem. (Ukrainian. English summary) Zbl 1224.41096 Mat. Stud. 33, No. 2, 220-224 (2010). MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{H. A. Voloshyn} and \textit{V. K. Maslyuchenko}, Mat. Stud. 33, No. 2, 220--224 (2010; Zbl 1224.41096)
Konograj, A. F. Widths of classes \(B_{p,\theta}^{\Omega}\) of periodic functions of several variables. (Ukrainian. English summary) Zbl 1164.41341 Mat. Stud. 29, No. 2, 192-206 (2008). MSC: 41A46 42A10 PDFBibTeX XMLCite \textit{A. F. Konograj}, Mat. Stud. 29, No. 2, 192--206 (2008; Zbl 1164.41341)
Bodnar, R. D. The best approximation on \([0,1)\) of analytic in the unit disk functions with nonnegative Taylor’s coefficients. (English) Zbl 0985.41016 Mat. Stud. 14, No. 1, 85-88 (2001). MSC: 41A50 PDFBibTeX XMLCite \textit{R. D. Bodnar}, Mat. Stud. 14, No. 1, 85--88 (2001; Zbl 0985.41016)
Sheremeta, M. M.; Zabolotskyi, M. V. Slow growth of power series convergent in the unit disk. (English) Zbl 0974.30504 Mat. Stud. 11, No. 2, 221-224 (1999). MSC: 30B10 41A58 PDFBibTeX XMLCite \textit{M. M. Sheremeta} and \textit{M. V. Zabolotskyi}, Mat. Stud. 11, No. 2, 221--224 (1999; Zbl 0974.30504)
Kawa, W. The Euler functional identities for generalized Chebyshev polynomials. (English) Zbl 0974.41501 Mat. Stud. 11, No. 1, 63-70 (1999). MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{W. Kawa}, Mat. Stud. 11, No. 1, 63--70 (1999; Zbl 0974.41501)
Rempulska, L.; Skorupka, M. Approximation properties of some operators in weighted function spaces of two variables. (English) Zbl 0974.41506 Mat. Stud. 10, No. 1, 3-16 (1998). MSC: 41A36 PDFBibTeX XMLCite \textit{L. Rempulska} and \textit{M. Skorupka}, Mat. Stud. 10, No. 1, 3--16 (1998; Zbl 0974.41506)