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Author ID: stasyuk.serhii-a Recent zbMATH articles by "Stasyuk, Serhii A."
Published as: Stasyuk, S. A.; Stasyuk, Serhii A.; Stasyuk, Sergei Andreevich; Stasyuk, Sergii Andriivych; Stasyuk, Sergei A.; Stasyuk, S. A
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

Publications by Year

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

Citations by Year