Myroniuk Vitalii
Publications
Derevianko, N., Myroniuk, V., Prestin, J., On an orthogonal bivariate trigonometric Schauder basis for the space of continuous functions, to appear in J. Approx. Theory, doi.org/10.1016/j.jat.2017.05.007
Derevianko, N., Myroniuk, V., Prestin, J., Characterization of local Besov spaces via wavelet basis expansions, Front. Appl. Math. Stat., 28 March 2017, doi.org/10.3389/fams.2017.00004
Myronyuk V. V. Widths of anisotropic Besov classes of periodic functions of several variables // Ukr. Math. J. — 2016. — Vol. 68, ¹ 8. — pp. 1080 - 1091; Engl. Transl.: Ukrainian Mathematical Journal. — 2017. — Vol. 68, ¹ 8. — pp. 1238 - 1251.
Myronyuk V. V. Kolmogorov widths of anisotropic Besov classes of periodic functions of several variables // Ukr. Math. J. — 2016. — Vol. 68, ¹ 5. — pp. 634 - 641; Engl. Transl.: Ukrainian Mathematical Journal. — 2016. — Vol. 66, ¹ 5. — pp. 718–727.
Myronyuk V. V. Trigonometric approximations and Kolmogorov widths of anisotropic Besov classes of periodic functions of several variables // Ukr. Math. J. — 2014. — Vol. 66, ¹ 8. — pp. 1117 - 1132; Engl. Transl.: Ukrainian Mathematical Journal. — 2015. — Vol. 66, ¹ 8. — pp. 1248 - 1266.
Myronyuk V. V. Approximation of functions of many variables from the classes $B_{p,\theta}^{\Omega}(\mathbb{R}^d)$ by entire functions of exponential type // Ukr. Math. J. — 2014. — Vol. 66, ¹ 2. — pp. 244 - 258; Engl. Transl.: Ukrainian Mathematical Journal. — 2014. — Vol. 66, ¹ 2. — pp. 273 – 288.
Myronyuk V. V. Approximation of functions from the isotropic classes $B_{1,\theta}^{\Omega}(\mathbb{R}^d)$ by entire functions of exponential type // Zb. Pr. Inst. Mat. NAN Ukr. — 2013. — Vol. 10, ¹ 1. — pp. 169 - 183.
Myroniuk V. V., Yanchenko S. Ya. Approximation of functions from generalized Nikolskii-Besov classes by entire functions in Lebesgue spaces // Mat. Stud. — 2013. — Vol. 39, ¹ 2. — pp. 190 - 202.
Myronyuk V. V. Approximation of the classes $B_{p,\theta}^{\Omega}$ of periodic functions of many variables by Fourier sums in the space $L_p$ with $p=1, \infty$ // Ukr. Math. J. — 2012. — Vol. 64, ¹ 9. — pp. 1204 - 1213; Engl. Transl.: Ukrainian Mathematical Journal. — 2013. — Vol. 64, ¹ 9. — pp. 1370 – 1381.
Derevianko, N., Myroniuk, V., Prestin, J., Characterization of local Besov spaces via wavelet basis expansions, Front. Appl. Math. Stat., 28 March 2017, doi.org/10.3389/fams.2017.00004
Myronyuk V. V. Widths of anisotropic Besov classes of periodic functions of several variables // Ukr. Math. J. — 2016. — Vol. 68, ¹ 8. — pp. 1080 - 1091; Engl. Transl.: Ukrainian Mathematical Journal. — 2017. — Vol. 68, ¹ 8. — pp. 1238 - 1251.
Myronyuk V. V. Kolmogorov widths of anisotropic Besov classes of periodic functions of several variables // Ukr. Math. J. — 2016. — Vol. 68, ¹ 5. — pp. 634 - 641; Engl. Transl.: Ukrainian Mathematical Journal. — 2016. — Vol. 66, ¹ 5. — pp. 718–727.
Myronyuk V. V. Trigonometric approximations and Kolmogorov widths of anisotropic Besov classes of periodic functions of several variables // Ukr. Math. J. — 2014. — Vol. 66, ¹ 8. — pp. 1117 - 1132; Engl. Transl.: Ukrainian Mathematical Journal. — 2015. — Vol. 66, ¹ 8. — pp. 1248 - 1266.
Myronyuk V. V. Approximation of functions of many variables from the classes $B_{p,\theta}^{\Omega}(\mathbb{R}^d)$ by entire functions of exponential type // Ukr. Math. J. — 2014. — Vol. 66, ¹ 2. — pp. 244 - 258; Engl. Transl.: Ukrainian Mathematical Journal. — 2014. — Vol. 66, ¹ 2. — pp. 273 – 288.
Myronyuk V. V. Approximation of functions from the isotropic classes $B_{1,\theta}^{\Omega}(\mathbb{R}^d)$ by entire functions of exponential type // Zb. Pr. Inst. Mat. NAN Ukr. — 2013. — Vol. 10, ¹ 1. — pp. 169 - 183.
Myroniuk V. V., Yanchenko S. Ya. Approximation of functions from generalized Nikolskii-Besov classes by entire functions in Lebesgue spaces // Mat. Stud. — 2013. — Vol. 39, ¹ 2. — pp. 190 - 202.
Myronyuk V. V. Approximation of the classes $B_{p,\theta}^{\Omega}$ of periodic functions of many variables by Fourier sums in the space $L_p$ with $p=1, \infty$ // Ukr. Math. J. — 2012. — Vol. 64, ¹ 9. — pp. 1204 - 1213; Engl. Transl.: Ukrainian Mathematical Journal. — 2013. — Vol. 64, ¹ 9. — pp. 1370 – 1381.