Стасюк Сергій Андрійович
Публікації
Moeller M., Stasyuk S., Ullrich T. Best $m$-term trigonometric approximation in weighted Wiener spaces and applications. Adv. Oper. Theory 11, No. 2, Paper No. 18, 29 p. (2026).
Solodky S.G., Stasyuk S.A. The minimal radius of Galerkin information for the problem of numerical differentiation. J. Complexity 81, Article ID 101787, 23 p. (2024).
Moeller M., Stasyuk S., Ullrich T. High-dimensional sparse trigonometric approximation in the uniform norm and consequences for sampling recovery. arXiv:2407.15965 Preprint, arXiv:2407.15965 [math.NA] (2024).
Byrenheid G., Stasyuk S., Ullrich T. $L_p$-Sampling recovery for non-compact subclasses of $L_{\infty}$. Frontiers in Applied Mathematics and Statistics 9, Article ID 1216331, 12 p. (2023).
Solodky S.G., Stasyuk S.A. Optimization of the methods of numerical differentiation for bivariate functions. Ukr. Math. J. 74, No. 2, 289-313 (2022); translation from Ukr. Mat. Zh. 74, No. 2, 253-273 (2022).
Semenova E., Solodky S.G., Stasyuk S.A. Application of Fourier truncation method to numerical differentiation for bivariate functions. Comput. Methods Appl. Math. 22, No. 2, 477-491 (2022).
Semenova Ye.V., Solodkyĭ S.G., Stasyuk S.A. Truncation method in problems of numerical summation and differentiation. Zb. Pr. Inst. Mat. NAN Ukr. 18, No. 1, 644-672 (2021).
Schober K., Prestin J., Stasyuk S.A. Edge detection with trigonometric polynomial shearlets. Adv. Comput. Math. 47, No. 1, Paper No. 17, 41 p. (2021).
Solodky S.G., Stasyuk S.A. Estimates of efficiency for two methods of stable numerical summation of smooth functions. J. Complexity 56, Article ID 101422, 18 p. (2020).
Yanchenko S.Ya., Stasyuk S.A. Approximative characteristics of functions from the classes S^Ω_{p,θ}B(R^d) with a given majorant of mixed moduli of continuity. J. Math. Sci., New York 235, No. 1, 103-115 (2018); translation from Ukr. Mat. Visn. 15, No. 1, 132-148 (2018).
Stasyuk S.A. Constructive sparse trigonometric approximations for the functions with generalized mixed smoothness. J. Math. Sci., New York 222, No. 6, 787-796 (2017); translation from Ukr. Mat. Visn. 13, No. 3, 408-420 (2016).
Stasyuk S.A. Best $m$-term trigonometric approximation for periodic functions with low mixed smoothness from the Nikol’skii-Besov-type classes. Ukr. Math. J. 68, No. 7, 1121-1145 (2016); translation from Ukr. Mat. Zh. 68, No. 7, 983-1003 (2016).
Stasyuk S.A. Kolmogorov widths for analogs of the Nikol’skii-Besov classes with logarithmic smoothness. Ukr. Math. J. 67, No. 11, 1786-1792 (2016); translation from Ukr. Mat. Zh. 67, No. 11, 1579-1584 (2015).
Stasyuk S.A., Yanchenko S.Ya. Approximation of functions from Nikolskii-Besov type classes of generalized mixed smoothness. Anal. Math. 41, No. 4, 311-334 (2015).
Stasyuk S.A., Approximations of the classes MB^r_{p,θ} of periodic functions of several variables by polynomials according to the Haar system. J. Math. Sci., New York 210, No. 1, 76-85 (2015); translation from Ukr. Mat. Visn. 12, No. 1, 97-109 (2015).
Stasyuk S.A. Best $m$-term trigonometric approximation of periodic functions of several variables from Nikol’skii-Besov classes for small smoothness. J. Approx. Theory 177, 1-16 (2014).
Stasyuk S.A. Approximation of classes MB^Ω_{p,θ} by Vallée-Poussin sums with in the uniform metric. Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 4, 308-317 (2014).
Stasyuk S.A. Approximating characteristics of the analogs of Besov classes with logarithmic smoothness. Ukr. Math. J. 66, No. 4, 553-560 (2014); translation from Ukr. Mat. Zh. 66, No. 4, 493-499 (2014).
Stasyuk S.A. Approximation by step-hyperbolic Fourier sums of classes MB^ω_{p,θ}(γ). Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 3, 228-240 (2014).
Stasyuk S.A. Best approximation of periodic functions of several variables from the classes MB^ω_{p,θ}. Ukr. Math. J. 64, No. 1, 156-161 (2012); translation from Ukr. Mat. Zh. 64, No. 1, 140-144 (2012).
Stasyuk S.A. Best $m$-term bilinear trigonometric approximation of classes $B^r_{p,\theta}$ of periodic functions of several variables. Zb. Pr. Inst. Mat. NAN Ukr. 8, No. 1, 206-215 (2011).
Stasyuk S.A. Best $m$-term approximation of the classes $B^r_{\infty,\theta}$ of functions of many variables by polynomials in the Haar system. Ukr. Math. J. 63, No. 4, 638-645 (2011); translation from Ukr. Mat. Zh. 63, No. 4, 549-555 (2011).
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. Mat. Stud. 35, No. 1, 66-73 (2011).
Stasyuk S.A. Approximation by Fourier sums of the classes $B^{\Omega}_{1,\theta}$ of periodic functions in the space $L_1$. Zb. Pr. Inst. Mat. NAN Ukr. 7, No. 1, 338-344 (2010).
Stasyuk S.A. Best $m$-term trigonometric approximation for the classes $B^{r}_{p,\theta}$ of functions of low smoothness. Ukr. Mat. Zh. 62, No. 1, 104-111 (2010); translation in Ukr. Math. J. 62, No. 1, 114-122 (2010).
Stasyuk S.A. Best approximations of periodic functions of several variables from the classes $B^{\Omega}_{p,\theta}$. Math. Notes 87, No. 1, 102-114 (2010); translation from Mat. Zametki 87, No. 1, 108-121 (2010).
Stasyuk S.A. Approximation of functions in several variables from classes $H^{\Omega}_p$ by polynomials with respect to the Haar system. Anal. Math. 35, No. 4, 257-271 (2009).
Konograj A.F., Stasyuk S.A. Best $M$-term trigonometric approximations of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of many variables in the space $L_q$. Ukr. Mat. Zh. 60, No. 9, 1196-1214 (2008); translation in Ukr. Math. J. 60, No. 9, 1396-1417 (2008).
Stasyuk S.A., Yanchenko S.Ya. Best approximations of the classes $B^{\Omega}_{p,\theta}$ of functions of many variables in the space $L_p(R^d)$.
Zb. Pr. Inst. Mat. NAN Ukr. 5, No. 1, 367-384 (2008).
Stasyuk S.A. Best $M$-term orthogonal trigonometric approximations of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of many variables. Ukr. Mat. Zh. 60, No. 5, 647-656 (2008); translation in Ukr. Math. J. 60, No. 5, 744-757 (2008).
Konograj A.F., Stasyuk S.A. Best orthogonal trigonometric approximation of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables. Zb. Pr. Inst. Mat. NAN Ukr. 4, No. 1, 151-171 (2007).
Stasyuk S.A. Best approximation of classes $B^{\Omega}_{p,\theta}(\gamma)$ of periodic functions of several variables in metric of the space $L_p$. Zb. Pr. Inst. Mat. NAN Ukr. 3, No. 4, 255-265 (2006).
Stasyuk S.A., Fedunyk O.V. Approximation characteristics of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of many variables. Ukr. Mat. Zh. 58, No. 5, 692-704 (2006); translation in Ukr. Math. J. 58, No. 5, 779-793 (2006).
Stasyuk S.A. Best approximation of classes $B^{\Omega}_{p,\theta}(\gamma)$ in metric of the space $L_q$. Zb. Pr. Inst. Mat. NAN Ukr. 2, No. 2, 258-267 (2005).
Stasyuk S.A. Approximation of renewal of classes $H^{\Omega}_p$ of periodic functions of several variables. Zb. Pr. Inst. Mat. NAN Ukr. 1, No. 1, 349-359 (2004).
Stasyuk S.A. The best approximations, the Kolmogorov and trigonometric widths of classes $B^{\Omega}_{p,\theta}$ of multivariable periodic functions. Ukr. Mat. Zh. 56, No. 11, 1557-1568 (2004); translation in Ukr. Math. J. 56, No. 11, 1849-1863 (2004).
Stasyuk S.A. The best trigonometric approximations of classes $B^{\Omega}_{p,\theta}$ of multivariable periodic functions in the space $L_q$. Stepanets’, O. I. (ed.), Ekstremal’ni zadachi teoriïfunktsij ta sumizhni pytannya. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2940-2). Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta ïï Zastosuvannya 46, 265-275 (2003).
Stasyuk S.A. Best orthogonal trigonometric approximations of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of many variables. Stepanets’, O.I. (ed.), Teoriya nablyzhennya funktsij ta sumizhni pytannya. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2617-9). Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta {ïï} Zastosuvannya 35, 195-208 (2002).
Stasyuk S.A. Approximation of classes $B^{\Omega}_{p,\theta}$ of periodic multivariable functions in a uniform metric. Ukr. Mat. Zh. 54, No. 11, 1551-1559 (2002).
Stasyuk S.A. Trigonometric widths of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of many variables. Ukr. Math. J. 54, No. 5, 862-868 (2002); translation from Ukr. Mat. Zh. 54, No. 5, 700-705 (2002).
Stasyuk S.A. Best $M$-term trigonometric approximations of the classes $B^{\Omega}_{p,\theta}$ of functions of many variables. Ukr. Math. J. 54, No. 3, 470-486 (2002); translation from Ukr. Mat. Zh. 54, No. 3, 381-394 (2002).
Solodky S.G., Stasyuk S.A. The minimal radius of Galerkin information for the problem of numerical differentiation. J. Complexity 81, Article ID 101787, 23 p. (2024).
Moeller M., Stasyuk S., Ullrich T. High-dimensional sparse trigonometric approximation in the uniform norm and consequences for sampling recovery. arXiv:2407.15965 Preprint, arXiv:2407.15965 [math.NA] (2024).
Byrenheid G., Stasyuk S., Ullrich T. $L_p$-Sampling recovery for non-compact subclasses of $L_{\infty}$. Frontiers in Applied Mathematics and Statistics 9, Article ID 1216331, 12 p. (2023).
Solodky S.G., Stasyuk S.A. Optimization of the methods of numerical differentiation for bivariate functions. Ukr. Math. J. 74, No. 2, 289-313 (2022); translation from Ukr. Mat. Zh. 74, No. 2, 253-273 (2022).
Semenova E., Solodky S.G., Stasyuk S.A. Application of Fourier truncation method to numerical differentiation for bivariate functions. Comput. Methods Appl. Math. 22, No. 2, 477-491 (2022).
Semenova Ye.V., Solodkyĭ S.G., Stasyuk S.A. Truncation method in problems of numerical summation and differentiation. Zb. Pr. Inst. Mat. NAN Ukr. 18, No. 1, 644-672 (2021).
Schober K., Prestin J., Stasyuk S.A. Edge detection with trigonometric polynomial shearlets. Adv. Comput. Math. 47, No. 1, Paper No. 17, 41 p. (2021).
Solodky S.G., Stasyuk S.A. Estimates of efficiency for two methods of stable numerical summation of smooth functions. J. Complexity 56, Article ID 101422, 18 p. (2020).
Yanchenko S.Ya., Stasyuk S.A. Approximative characteristics of functions from the classes S^Ω_{p,θ}B(R^d) with a given majorant of mixed moduli of continuity. J. Math. Sci., New York 235, No. 1, 103-115 (2018); translation from Ukr. Mat. Visn. 15, No. 1, 132-148 (2018).
Stasyuk S.A. Constructive sparse trigonometric approximations for the functions with generalized mixed smoothness. J. Math. Sci., New York 222, No. 6, 787-796 (2017); translation from Ukr. Mat. Visn. 13, No. 3, 408-420 (2016).
Stasyuk S.A. Best $m$-term trigonometric approximation for periodic functions with low mixed smoothness from the Nikol’skii-Besov-type classes. Ukr. Math. J. 68, No. 7, 1121-1145 (2016); translation from Ukr. Mat. Zh. 68, No. 7, 983-1003 (2016).
Stasyuk S.A. Kolmogorov widths for analogs of the Nikol’skii-Besov classes with logarithmic smoothness. Ukr. Math. J. 67, No. 11, 1786-1792 (2016); translation from Ukr. Mat. Zh. 67, No. 11, 1579-1584 (2015).
Stasyuk S.A., Yanchenko S.Ya. Approximation of functions from Nikolskii-Besov type classes of generalized mixed smoothness. Anal. Math. 41, No. 4, 311-334 (2015).
Stasyuk S.A., Approximations of the classes MB^r_{p,θ} of periodic functions of several variables by polynomials according to the Haar system. J. Math. Sci., New York 210, No. 1, 76-85 (2015); translation from Ukr. Mat. Visn. 12, No. 1, 97-109 (2015).
Stasyuk S.A. Best $m$-term trigonometric approximation of periodic functions of several variables from Nikol’skii-Besov classes for small smoothness. J. Approx. Theory 177, 1-16 (2014).
Stasyuk S.A. Approximation of classes MB^Ω_{p,θ} by Vallée-Poussin sums with in the uniform metric. Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 4, 308-317 (2014).
Stasyuk S.A. Approximating characteristics of the analogs of Besov classes with logarithmic smoothness. Ukr. Math. J. 66, No. 4, 553-560 (2014); translation from Ukr. Mat. Zh. 66, No. 4, 493-499 (2014).
Stasyuk S.A. Approximation by step-hyperbolic Fourier sums of classes MB^ω_{p,θ}(γ). Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 3, 228-240 (2014).
Stasyuk S.A. Best approximation of periodic functions of several variables from the classes MB^ω_{p,θ}. Ukr. Math. J. 64, No. 1, 156-161 (2012); translation from Ukr. Mat. Zh. 64, No. 1, 140-144 (2012).
Stasyuk S.A. Best $m$-term bilinear trigonometric approximation of classes $B^r_{p,\theta}$ of periodic functions of several variables. Zb. Pr. Inst. Mat. NAN Ukr. 8, No. 1, 206-215 (2011).
Stasyuk S.A. Best $m$-term approximation of the classes $B^r_{\infty,\theta}$ of functions of many variables by polynomials in the Haar system. Ukr. Math. J. 63, No. 4, 638-645 (2011); translation from Ukr. Mat. Zh. 63, No. 4, 549-555 (2011).
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. Mat. Stud. 35, No. 1, 66-73 (2011).
Stasyuk S.A. Approximation by Fourier sums of the classes $B^{\Omega}_{1,\theta}$ of periodic functions in the space $L_1$. Zb. Pr. Inst. Mat. NAN Ukr. 7, No. 1, 338-344 (2010).
Stasyuk S.A. Best $m$-term trigonometric approximation for the classes $B^{r}_{p,\theta}$ of functions of low smoothness. Ukr. Mat. Zh. 62, No. 1, 104-111 (2010); translation in Ukr. Math. J. 62, No. 1, 114-122 (2010).
Stasyuk S.A. Best approximations of periodic functions of several variables from the classes $B^{\Omega}_{p,\theta}$. Math. Notes 87, No. 1, 102-114 (2010); translation from Mat. Zametki 87, No. 1, 108-121 (2010).
Stasyuk S.A. Approximation of functions in several variables from classes $H^{\Omega}_p$ by polynomials with respect to the Haar system. Anal. Math. 35, No. 4, 257-271 (2009).
Konograj A.F., Stasyuk S.A. Best $M$-term trigonometric approximations of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of many variables in the space $L_q$. Ukr. Mat. Zh. 60, No. 9, 1196-1214 (2008); translation in Ukr. Math. J. 60, No. 9, 1396-1417 (2008).
Stasyuk S.A., Yanchenko S.Ya. Best approximations of the classes $B^{\Omega}_{p,\theta}$ of functions of many variables in the space $L_p(R^d)$.
Zb. Pr. Inst. Mat. NAN Ukr. 5, No. 1, 367-384 (2008).
Stasyuk S.A. Best $M$-term orthogonal trigonometric approximations of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of many variables. Ukr. Mat. Zh. 60, No. 5, 647-656 (2008); translation in Ukr. Math. J. 60, No. 5, 744-757 (2008).
Konograj A.F., Stasyuk S.A. Best orthogonal trigonometric approximation of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables. Zb. Pr. Inst. Mat. NAN Ukr. 4, No. 1, 151-171 (2007).
Stasyuk S.A. Best approximation of classes $B^{\Omega}_{p,\theta}(\gamma)$ of periodic functions of several variables in metric of the space $L_p$. Zb. Pr. Inst. Mat. NAN Ukr. 3, No. 4, 255-265 (2006).
Stasyuk S.A., Fedunyk O.V. Approximation characteristics of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of many variables. Ukr. Mat. Zh. 58, No. 5, 692-704 (2006); translation in Ukr. Math. J. 58, No. 5, 779-793 (2006).
Stasyuk S.A. Best approximation of classes $B^{\Omega}_{p,\theta}(\gamma)$ in metric of the space $L_q$. Zb. Pr. Inst. Mat. NAN Ukr. 2, No. 2, 258-267 (2005).
Stasyuk S.A. Approximation of renewal of classes $H^{\Omega}_p$ of periodic functions of several variables. Zb. Pr. Inst. Mat. NAN Ukr. 1, No. 1, 349-359 (2004).
Stasyuk S.A. The best approximations, the Kolmogorov and trigonometric widths of classes $B^{\Omega}_{p,\theta}$ of multivariable periodic functions. Ukr. Mat. Zh. 56, No. 11, 1557-1568 (2004); translation in Ukr. Math. J. 56, No. 11, 1849-1863 (2004).
Stasyuk S.A. The best trigonometric approximations of classes $B^{\Omega}_{p,\theta}$ of multivariable periodic functions in the space $L_q$. Stepanets’, O. I. (ed.), Ekstremal’ni zadachi teoriïfunktsij ta sumizhni pytannya. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2940-2). Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta ïï Zastosuvannya 46, 265-275 (2003).
Stasyuk S.A. Best orthogonal trigonometric approximations of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of many variables. Stepanets’, O.I. (ed.), Teoriya nablyzhennya funktsij ta sumizhni pytannya. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2617-9). Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta {ïï} Zastosuvannya 35, 195-208 (2002).
Stasyuk S.A. Approximation of classes $B^{\Omega}_{p,\theta}$ of periodic multivariable functions in a uniform metric. Ukr. Mat. Zh. 54, No. 11, 1551-1559 (2002).
Stasyuk S.A. Trigonometric widths of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of many variables. Ukr. Math. J. 54, No. 5, 862-868 (2002); translation from Ukr. Mat. Zh. 54, No. 5, 700-705 (2002).
Stasyuk S.A. Best $M$-term trigonometric approximations of the classes $B^{\Omega}_{p,\theta}$ of functions of many variables. Ukr. Math. J. 54, No. 3, 470-486 (2002); translation from Ukr. Mat. Zh. 54, No. 3, 381-394 (2002).