Edit Profile (opens in new tab) Stasyuk, Serhii A. Co-Author Distance Author ID: stasyuk.serhii-a Published as: Stasyuk, S. A.; Stasyuk, Serhii A.; Stasyuk, Sergei Andreevich; Stasyuk, Sergii Andriivych; Stasyuk, Sergei A.; Stasyuk, S. A more...less Homepage: https://www.imath.kiev.ua/people/profile.php?pid=206&lang=en External Links: Math-Net.Ru Documents Indexed: 39 Publications since 2002, including 1 Additional arXiv Preprint Co-Authors: 11 Co-Authors with 13 Joint Publications 112 Co-Co-Authors all top 5 Co-Authors 26 single-authored 5 Solodky, Sergiy G. 2 Konograj, A. F. 2 Yanchenko, Sergii Yakovych 1 Byrenheid, Glenn 1 Fedunyk, O. V. 1 Prestin, Jurgen 1 Schober, Kevin 1 Semenova, Evgeniya V. 1 Semenova, Ye. V. 1 Ullrich, Tino 1 Yanchenko, Ya. all top 5 Serials 10 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 8 Ukraïns’kyĭ Matematychnyĭ Zhurnal 6 Ukrainian Mathematical Journal 3 Journal of Mathematical Sciences (New York) 2 Analysis Mathematica 2 Journal of Complexity 1 Mathematical Notes 1 Journal of Approximation Theory 1 Advances in Computational Mathematics 1 Matematychni Studiï 1 Computational Methods in Applied Mathematics Fields 28 Harmonic analysis on Euclidean spaces (42-XX) 19 Approximations and expansions (41-XX) 7 Numerical analysis (65-XX) 4 Functional analysis (46-XX) 1 Partial differential equations (35-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 97 times in 55 Documents Cited by ▼ Year ▼ Approximation characteristics of the classes \(B_{p,\theta}^{\Omega}\) of periodic functions of many variables. Zbl 1120.42001 Stasyuk, S. A.; Fedunyk, O. V. 20 2006 Approximation of the classes \(B^{\omega}_{p,\theta}\) of periodic functions of several variables by polynomials with a spectrum in cubic domains. Zbl 1226.42002 Stasyuk, S. A. 8 2011 The best approximations, the Kolmogorov and trigonometric widths of classes \(B^{\Omega}_{p,\theta}\) of multivariable periodic functions. Zbl 1127.41307 Stasyuk, S. A. 7 2004 Approximation of functions from Nikolskii-Besov type classes of generalized mixed smoothness. Zbl 1349.41022 Stasyuk, S. A.; Yanchenko, Ya. 7 2015 Best approximations of periodic functions of several variables from the classes \(B_{p,\theta}^{\Omega}\). Zbl 1200.41030 Stasyuk, S. A. 6 2010 Approximation of functions in several variables from classes \(H^{\Omega}_p\) by polynomials with respect to the Haar system. Zbl 1212.41029 Stasyuk, S. A. 5 2009 Approximation of classes \(B^{\Omega}_{p,\theta}\) of periodic multivariable functions in a uniform metric. Zbl 1031.42005 Stasyuk, S. A. 4 2002 Best M-term orthogonal trigonometric approximations of the classes \({B}^{\Omega}_{p,\theta}\) of periodic functions of many variables. Zbl 1164.42302 Stasyuk, S. A 3 2008 Best \(M\)-term trigonometric approximations of the classes \(B_{p,\theta}^{\Omega}\) of functions of many variables. Zbl 1006.42012 Stasyuk, S. A. 3 2002 Best approximations of the classes \({B}^{\Omega}_{p,\theta}\) of functions of many variables in the space \(L_p(\mathbb R^d)\). Zbl 1199.41163 Stasyuk, S. A.; Yanchenko, S. Ya. 3 2008 Estimates of efficiency for two methods of stable numerical summation of smooth functions. Zbl 1457.65164 Solodky, S. G.; Stasyuk, S. A. 3 2020 Best \(m\)-term trigonometric approximation of periodic functions of several variables from Nikol’skii-Besov classes for small smoothness. Zbl 1480.42003 Stasyuk, Serhii A. 3 2014 Application of Fourier truncation method to numerical differentiation for bivariate functions. Zbl 1485.65019 Semenova, Evgeniya V.; Solodky, Sergiy G.; Stasyuk, Serhii A. 3 2022 Kolmogorov widths for analogs of the Nikol’skii-Besov classes with logarithmic smoothness. Zbl 1388.46029 Stasyuk, S. A. 3 2016 Approximating characteristics of the analogs of Besov classes with logarithmic smoothness. Zbl 1320.42006 Stasyuk, S. A. 3 2014 Trigonometric widths of the classes \(B_{p,\theta}^{\Omega}\) of periodic functions of many variables. Zbl 1006.42013 Stasyuk, S. A. 2 2002 Edge detection with trigonometric polynomial shearlets. Zbl 1464.42032 Schober, Kevin; Prestin, Jürgen; Stasyuk, Serhii A. 2 2021 Approximation of classes \(MB_{p,\theta}^{\Omega}\) by Vallée-Poussin sums with in the uniform metric. Zbl 1340.41024 Stasyuk, S. A. 2 2014 Truncation method in problems of numerical summation and differentiation. Zbl 1488.65046 Semenova, Ye. V.; Solodkyĭ, S. G.; Stasyuk, S. A. 2 2021 Best \(m\)-term trigonometric approximation for periodic functions with low mixed smoothness from the Nikol’skii-Besov-type classes. Zbl 1499.42015 Stasyuk, S. A. 1 2016 The best trigonometric approximations of classes \(B^{\Omega}_{p,\theta}\) of multivariable periodic functions in the space \(L_q\). Zbl 1129.42319 Stasyuk, S. A. 1 2003 Best orthogonal trigonometric approximation of the classes \(B_{p,\theta}^{\Omega}\) of periodic functions of several variables. Zbl 1199.42011 Konograj, A. F.; Stasyuk, S. A. 1 2007 Optimization of the methods of numerical differentiation for bivariate functions. Zbl 1504.65076 Solodky, S. G.; Stasyuk, S. A. 1 2022 Best \(m\)-term approximation of the classes \(B_{\infty, \theta}^{r}\) of functions of many variables by polynomials in the Haar system. Zbl 1242.41027 Stasyuk, S. A. 1 2011 Best \(m\)-term trigonometric approximation for the classes \(B_{p,\theta}^r\) of functions of low smoothness. Zbl 1224.42007 Stasyuk, S. A. 1 2010 Approximation by Fourier sums of the classes \(B^{\Omega}_{1,\theta}\) of periodic functions in the space \(L_1\). Zbl 1240.41080 Stasyuk, S. A. 1 2010 Best \(M\)-term trigonometric approximations of the classes \(B^{\Omega }_{p,\theta}\) of periodic functions of many variables in the space \(L_q\). Zbl 1240.42006 Konograj, A. F.; Stasyuk, S. A. 1 2008 Application of Fourier truncation method to numerical differentiation for bivariate functions. Zbl 1485.65019 Semenova, Evgeniya V.; Solodky, Sergiy G.; Stasyuk, Serhii A. 3 2022 Optimization of the methods of numerical differentiation for bivariate functions. Zbl 1504.65076 Solodky, S. G.; Stasyuk, S. A. 1 2022 Edge detection with trigonometric polynomial shearlets. Zbl 1464.42032 Schober, Kevin; Prestin, Jürgen; Stasyuk, Serhii A. 2 2021 Truncation method in problems of numerical summation and differentiation. Zbl 1488.65046 Semenova, Ye. V.; Solodkyĭ, S. G.; Stasyuk, S. A. 2 2021 Estimates of efficiency for two methods of stable numerical summation of smooth functions. Zbl 1457.65164 Solodky, S. G.; Stasyuk, S. A. 3 2020 Kolmogorov widths for analogs of the Nikol’skii-Besov classes with logarithmic smoothness. Zbl 1388.46029 Stasyuk, S. A. 3 2016 Best \(m\)-term trigonometric approximation for periodic functions with low mixed smoothness from the Nikol’skii-Besov-type classes. Zbl 1499.42015 Stasyuk, S. A. 1 2016 Approximation of functions from Nikolskii-Besov type classes of generalized mixed smoothness. Zbl 1349.41022 Stasyuk, S. A.; Yanchenko, Ya. 7 2015 Best \(m\)-term trigonometric approximation of periodic functions of several variables from Nikol’skii-Besov classes for small smoothness. Zbl 1480.42003 Stasyuk, Serhii A. 3 2014 Approximating characteristics of the analogs of Besov classes with logarithmic smoothness. Zbl 1320.42006 Stasyuk, S. A. 3 2014 Approximation of classes \(MB_{p,\theta}^{\Omega}\) by Vallée-Poussin sums with in the uniform metric. Zbl 1340.41024 Stasyuk, S. A. 2 2014 Approximation of the classes \(B^{\omega}_{p,\theta}\) of periodic functions of several variables by polynomials with a spectrum in cubic domains. Zbl 1226.42002 Stasyuk, S. A. 8 2011 Best \(m\)-term approximation of the classes \(B_{\infty, \theta}^{r}\) of functions of many variables by polynomials in the Haar system. Zbl 1242.41027 Stasyuk, S. A. 1 2011 Best approximations of periodic functions of several variables from the classes \(B_{p,\theta}^{\Omega}\). Zbl 1200.41030 Stasyuk, S. A. 6 2010 Best \(m\)-term trigonometric approximation for the classes \(B_{p,\theta}^r\) of functions of low smoothness. Zbl 1224.42007 Stasyuk, S. A. 1 2010 Approximation by Fourier sums of the classes \(B^{\Omega}_{1,\theta}\) of periodic functions in the space \(L_1\). Zbl 1240.41080 Stasyuk, S. A. 1 2010 Approximation of functions in several variables from classes \(H^{\Omega}_p\) by polynomials with respect to the Haar system. Zbl 1212.41029 Stasyuk, S. A. 5 2009 Best M-term orthogonal trigonometric approximations of the classes \({B}^{\Omega}_{p,\theta}\) of periodic functions of many variables. Zbl 1164.42302 Stasyuk, S. A 3 2008 Best approximations of the classes \({B}^{\Omega}_{p,\theta}\) of functions of many variables in the space \(L_p(\mathbb R^d)\). Zbl 1199.41163 Stasyuk, S. A.; Yanchenko, S. Ya. 3 2008 Best \(M\)-term trigonometric approximations of the classes \(B^{\Omega }_{p,\theta}\) of periodic functions of many variables in the space \(L_q\). Zbl 1240.42006 Konograj, A. F.; Stasyuk, S. A. 1 2008 Best orthogonal trigonometric approximation of the classes \(B_{p,\theta}^{\Omega}\) of periodic functions of several variables. Zbl 1199.42011 Konograj, A. F.; Stasyuk, S. A. 1 2007 Approximation characteristics of the classes \(B_{p,\theta}^{\Omega}\) of periodic functions of many variables. Zbl 1120.42001 Stasyuk, S. A.; Fedunyk, O. V. 20 2006 The best approximations, the Kolmogorov and trigonometric widths of classes \(B^{\Omega}_{p,\theta}\) of multivariable periodic functions. Zbl 1127.41307 Stasyuk, S. A. 7 2004 The best trigonometric approximations of classes \(B^{\Omega}_{p,\theta}\) of multivariable periodic functions in the space \(L_q\). Zbl 1129.42319 Stasyuk, S. A. 1 2003 Approximation of classes \(B^{\Omega}_{p,\theta}\) of periodic multivariable functions in a uniform metric. Zbl 1031.42005 Stasyuk, S. A. 4 2002 Best \(M\)-term trigonometric approximations of the classes \(B_{p,\theta}^{\Omega}\) of functions of many variables. Zbl 1006.42012 Stasyuk, S. A. 3 2002 Trigonometric widths of the classes \(B_{p,\theta}^{\Omega}\) of periodic functions of many variables. Zbl 1006.42013 Stasyuk, S. A. 2 2002 all cited Publications top 5 cited Publications all top 5 Cited by 33 Authors 12 Stasyuk, Serhii A. 7 Hembars’ka, Svitlana Borysivna 5 Solich, Kateryna Vasylivna 4 Fedunyk-Yaremchuk, Oksana Volodymyrivna 4 Romanyuk, Viktor Sergiiovych 4 Solodky, Sergiy G. 3 Akishev, Gabdolla Akishevich 3 Derev’yanko, N. V. 3 Duan, Liqin 3 Hembars’kyi, Mykhailo Vitaliiovych 3 Ye, Peixin 2 Myronyuk, V. V. 2 Pozharska, Kateryna Vitaliivna 2 Romanyuk, Anatolii Sergiiovych 2 Shkapa, Viktoriya V. 1 Balgimbayeva, Sholpan A. 1 Brasseur, Julien 1 Konograi, A. F. 1 Konohrai, A. F. 1 Prestin, Jurgen 1 Radchenko, O. Ya. 1 Romanyuk, Ihor A. 1 Schober, Kevin 1 Schoppert, Frederic 1 Semenova, Evgeniya V. 1 Semenova, Ye. V. 1 Smirnov, T. I. 1 Vlasyk, Hanna M. 1 Yanchenko, Sergii Yakovych 1 Yanchenko, Serhii Ya. 1 Yanchenko, Ya. 1 Zaderei, P. V. 1 Zamrii, Iryna V. all top 5 Cited in 18 Serials 26 Ukrainian Mathematical Journal 11 Journal of Mathematical Sciences (New York) 2 Mathematical Notes 1 Analysis Mathematica 1 Annales de l’Institut Fourier 1 Siberian Mathematical Journal 1 Journal of Complexity 1 ETNA. Electronic Transactions on Numerical Analysis 1 Matematychni Studiï 1 Computational Methods in Applied Mathematics 1 Communications on Pure and Applied Analysis 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Sarajevo Journal of Mathematics 1 GEM - International Journal on Geomathematics 1 Carpathian Mathematical Publications 1 Advances in Operator Theory 1 Ural Mathematical Journal 1 Mathematical Foundations of Computing all top 5 Cited in 7 Fields 38 Approximations and expansions (41-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 12 Functional analysis (46-XX) 8 Numerical analysis (65-XX) 2 Information and communication theory, circuits (94-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) Citations by Year