Yanchenko Sergii
Publications
$\hspace{75mm} \normalsize{2023}$
• Romanyuk A.S., Yanchenko S.Ya. Estimates for the entropy numbers of the Nikol'skii–Besov classes of functions with mixed smoothness in the space of quasi-continuous functions. Math. Nachr. 2023, Vol. 296 (6), 2575–2587.
https://onlinelibrary.wiley.com/doi/10.1002/mana.202100202
$\hspace{75mm} \normalsize{2022}$
• Romanyuk A.S., Yanchenko S.Ya. Approximation of the classes of periodic functions of one and many variables from the Nikol’skii-Besov and Sobolev spaces. Ukrainian Math. J. 2022, Vol. 74 (6), 967-980; Translated from Ukrains’kyi Matematychnyi Zhurnal 2022, Vol. 74 (6), 844-855.
https://link.springer.com/article/10.1007/s11253-022-02110-5
• Romanyuk A.S., Yanchenko S.Ya. Kolmogorov widths of the Nikol'skii-Besov classes of periodic functions of many variables in the space of quasicontinuous functions. Ukr. Math. J. 2022, V. 74, Issue 2, pp. 251–265; Translated from Ukrains’kyi Matematychnyi Zhurnal, V. 74, No. 2, pp. 220–232, February 2022.
https://link.springer.com/article/10.1007/s11253-022-02061-x
• Romanyuk A.S., Yanchenko S.Ya. Estimates of approximating characteristics and the properties of the operators of best approximation for the classes of periodic functions in the space $B_{1,1}$. Ukr. Math. J. February 2022, V. 73, Issue 8, pp. 1278–1298; Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 8, pp. 1102–1119, August, 2021.
https://link.springer.com/article/10.1007/s11253-022-01990-x
$\hspace{75mm} \normalsize{2021}$
• Yanchenko S.Ya., Radchenko O.Ya. Approximation characteristics of the isotropic Nikol'skii-Besov functional classes. Carpathian Math. Publ. 2021, 13 (3), 851-861.
https://journals.pnu.edu.ua/index.php/cmp/article/view/5649
$\hspace{75mm} \normalsize{2020}$
• Yanchenko S.Ya. Approximation of the Nikol’skii-Besov Functional Classes by Entire Functions of a Special Form. Carpathian Math. Publ. 2020, 12 (1), 148-156.
https://journals.pnu.edu.ua/index.php/cmp/article/view/3895
arXiv preprint, arXiv:1912.01087. (in Ukrainian) https://arxiv.org/pdf/1912.01087.pdf
• Yanchenko S.Ya., Radchenko O.Ya. Approximating Characteristics of the Nikol’skii–Besov Classes $S^{\boldsymbol{r}}_{1,\theta}B(\mathbb{R}^d)$. Ukr. Math. J. April 2020, V. 71, Issue 10, pp. 1608–1626; Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 10, pp. 1405–1421, October, 2019.
https://link.springer.com/article/10.1007/s11253-020-01734-9
arXiv preprint, arXiv:1607.06069. (in Ukrainian) https://arxiv.org/pdf/1607.06069v1.pdf
$\hspace{75mm} \normalsize{2018}$
• Yanchenko S.Ya. Best Approximation of the Functions from Anisotropic Nikol’skii–Besov Classes Defined in $\mathbb{R}^d$. Ukr. Math. J. November 2018, V. 70, Issue 4, pp. 661–670; Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, No. 4, pp. 574–582, April, 2018.
https://link.springer.com/article/10.1007/s11253-018-1523-y
arXiv preprint arXiv:1703.10699. - 2017. (in Ukrainian) https://arxiv.org/pdf/1703.10699.pdf
• Yanchenko S.Ya., Stasyuk S.A. Approximative characteristics of functions from the classes $S^{\Omega}_{p,\theta}B$ with a given majorant of mixed moduli of continuity. J. Math. Sci. 235, 103–115 (2018); Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 15, No. 1, pp. 132–148, January–March, 2018.
https://link.springer.com/article/10.1007/s10958-018-4062-z;
arXiv preprint, arXiv:1611.02313v2. (in Ukrainian) https://arxiv.org/pdf/1611.02313v2.pdf
• Yanchenko S.Ya. Order estimates of approximation characteristics of functions from the anisotropic Nikol'skii-Besov classes. J. of Math. Sci., 234, No. 1, 98–105 (2018); Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 14, No. 4, pp. 595–604, October–December, 2017.
https://link.springer.com/article/10.1007/s10958-018-3984-9
arXiv preprint arXiv:arXiv:1709.04650. - 2017. (in Ukrainian) https://arxiv.org/pdf/1709.04650.pdf
$\hspace{75mm} \normalsize{2017}$
• Yanchenko S.Ya. Order estimates for the approximative characteristics of functions from the classes $S^{\Omega}_{p,\theta}B$ with a given majorant of generalized mixed modules of smoothness in the uniform metric. Ukr. Math. J. May 2017, V. 68, Issue 12, pp 1975–1985; Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No.12, pp. 1705–1714.
https://link.springer.com/article/10.1007/s11253-017-1342-6
$\hspace{75mm} \normalsize{2015}$
• Stasyuk S.A., Yanchenko S.Ya. Approximation of functions from Nikolskii-Besov type classes of generalized mixed smoothness. Anal. Math. — 2015. — V.41. — P.311—334.
https://link.springer.com/article/10.1007%2Fs10476-015-0305-0#Abs1
• Yanchenko S.Ya. Approximation of functions from the isotropic Nikol’skii–Besov classes in the uniform and integral metrics, Ukr. Mat. Zh., 67, No. 10, 1423–1433 (2015); English translation: Ukr. Math. J., 67, No. 10, 1599–1610 (2016).
https://link.springer.com/article/10.1007/s11253-016-1175-8
$\hspace{75mm} \normalsize{2014}$
• Yanchenko S.Ya. Order estimates for approximating characteristics of functions from generalized classes of mixed smoothness of the Nikol’ski–Besov type, in: Collection of Works “Approximation Theory of Functions and Related Problems” [in Ukrainian], Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, 11, No. 3 (2014), pp. 330–343. (Paper)
$\hspace{75mm} \normalsize{2013}$
• Yanchenko S.Ya. Estimates for approximating characteristics of the classes of functions $S^r_{p,θ}B(\mathbb{R^d})$ in the uniform metric, in: Collection of Works “Approximation Theory of Functions and Related Problems” [in Ukrainian], Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, 10, No. 1 (2013), pp. 328–340. (Paper)
• Myroniuk V.V., Yanchenko S.Ya. Approximation of functions from generalized Nikol’skii–Besov classes by entire functions in Lebesgue spaces, Mat. Stud. 39 (2013), 190–202.
http://matstud.org.ua/texts/2013/39_2/190-202.html
• Yanchenko S.Ya. Approximation of functions from the classes $S^r_{p,θ}B$ in the uniform metric. Ukr. Math. J., Vol. 65, Issue 5, 771–779 (November 2013); Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 5, pp. 698–705, May, 2013.
https://link.springer.com/article/10.1007/s11253-013-0813-7
$\hspace{75mm} \normalsize{2010}$
• Yanchenko S.Ya. Approximations Besov classes of functions of many variables by entire functions of a special kind. Zb. Pr. Inst. Mat. NAN Ukr. — 2010. — V.7, ¹2. — P.427—434.(in Ukrainian)
• Yanchenko S.Ya. Approximations of functions with Besov classes by entire function in the space $L_q(\mathbb{R}^d)$. Zb. Pr. Inst. Mat. NAN Ukr. — 2010. — V.7, ¹1. — P.380—391. (in Ukrainian)
• Yanchenko S.Ya. Approximations of classes $S^{r}_{p,\theta}B(\mathbb{R}^d)$ of functions of many variables by entire functions of a special kind. Ukr. Math. J., V.62, Issue 8, 1307–1325, January 2011; Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 8, pp. 1124–1138, August, 2010.
https://link.springer.com/article/10.1007/s11253-011-0431-1
• Yanchenko S.Ya. Approximations of classes $B^{\Omega}_{p,\theta}$ of functions of many variables by entire functions in the space $L_q(\mathbb{R}^d)$. Ukr. Math. J., — V.62, Issue 1, P.136—150, August 2010; Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 1, pp. 123–135, January, 2010.
https://link.springer.com/article/10.1007/s11253-010-0338-2
$\hspace{75mm} \normalsize{2008}$
• Stasyuk S.A., Yanchenko S.Ya. Best approximations of classes $B^{\Omega}_{p,\theta}$ of functions of many variables in the space$L_p(\mathbb{R}^d)$. In: Theory of Approximation of Functions and Related Problems, Institute of Mathematics, National Academy of Sciences of Ukrainian, Kyiv, 2008, V.5, ¹1, pp. 367–384. (in Ukrainian)
• Romanyuk A.S., Yanchenko S.Ya. Estimates for the entropy numbers of the Nikol'skii–Besov classes of functions with mixed smoothness in the space of quasi-continuous functions. Math. Nachr. 2023, Vol. 296 (6), 2575–2587.
https://onlinelibrary.wiley.com/doi/10.1002/mana.202100202
$\hspace{75mm} \normalsize{2022}$
• Romanyuk A.S., Yanchenko S.Ya. Approximation of the classes of periodic functions of one and many variables from the Nikol’skii-Besov and Sobolev spaces. Ukrainian Math. J. 2022, Vol. 74 (6), 967-980; Translated from Ukrains’kyi Matematychnyi Zhurnal 2022, Vol. 74 (6), 844-855.
https://link.springer.com/article/10.1007/s11253-022-02110-5
• Romanyuk A.S., Yanchenko S.Ya. Kolmogorov widths of the Nikol'skii-Besov classes of periodic functions of many variables in the space of quasicontinuous functions. Ukr. Math. J. 2022, V. 74, Issue 2, pp. 251–265; Translated from Ukrains’kyi Matematychnyi Zhurnal, V. 74, No. 2, pp. 220–232, February 2022.
https://link.springer.com/article/10.1007/s11253-022-02061-x
• Romanyuk A.S., Yanchenko S.Ya. Estimates of approximating characteristics and the properties of the operators of best approximation for the classes of periodic functions in the space $B_{1,1}$. Ukr. Math. J. February 2022, V. 73, Issue 8, pp. 1278–1298; Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 8, pp. 1102–1119, August, 2021.
https://link.springer.com/article/10.1007/s11253-022-01990-x
$\hspace{75mm} \normalsize{2021}$
• Yanchenko S.Ya., Radchenko O.Ya. Approximation characteristics of the isotropic Nikol'skii-Besov functional classes. Carpathian Math. Publ. 2021, 13 (3), 851-861.
https://journals.pnu.edu.ua/index.php/cmp/article/view/5649
$\hspace{75mm} \normalsize{2020}$
• Yanchenko S.Ya. Approximation of the Nikol’skii-Besov Functional Classes by Entire Functions of a Special Form. Carpathian Math. Publ. 2020, 12 (1), 148-156.
https://journals.pnu.edu.ua/index.php/cmp/article/view/3895
arXiv preprint, arXiv:1912.01087. (in Ukrainian) https://arxiv.org/pdf/1912.01087.pdf
• Yanchenko S.Ya., Radchenko O.Ya. Approximating Characteristics of the Nikol’skii–Besov Classes $S^{\boldsymbol{r}}_{1,\theta}B(\mathbb{R}^d)$. Ukr. Math. J. April 2020, V. 71, Issue 10, pp. 1608–1626; Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 10, pp. 1405–1421, October, 2019.
https://link.springer.com/article/10.1007/s11253-020-01734-9
arXiv preprint, arXiv:1607.06069. (in Ukrainian) https://arxiv.org/pdf/1607.06069v1.pdf
$\hspace{75mm} \normalsize{2018}$
• Yanchenko S.Ya. Best Approximation of the Functions from Anisotropic Nikol’skii–Besov Classes Defined in $\mathbb{R}^d$. Ukr. Math. J. November 2018, V. 70, Issue 4, pp. 661–670; Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, No. 4, pp. 574–582, April, 2018.
https://link.springer.com/article/10.1007/s11253-018-1523-y
arXiv preprint arXiv:1703.10699. - 2017. (in Ukrainian) https://arxiv.org/pdf/1703.10699.pdf
• Yanchenko S.Ya., Stasyuk S.A. Approximative characteristics of functions from the classes $S^{\Omega}_{p,\theta}B$ with a given majorant of mixed moduli of continuity. J. Math. Sci. 235, 103–115 (2018); Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 15, No. 1, pp. 132–148, January–March, 2018.
https://link.springer.com/article/10.1007/s10958-018-4062-z;
arXiv preprint, arXiv:1611.02313v2. (in Ukrainian) https://arxiv.org/pdf/1611.02313v2.pdf
• Yanchenko S.Ya. Order estimates of approximation characteristics of functions from the anisotropic Nikol'skii-Besov classes. J. of Math. Sci., 234, No. 1, 98–105 (2018); Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 14, No. 4, pp. 595–604, October–December, 2017.
https://link.springer.com/article/10.1007/s10958-018-3984-9
arXiv preprint arXiv:arXiv:1709.04650. - 2017. (in Ukrainian) https://arxiv.org/pdf/1709.04650.pdf
$\hspace{75mm} \normalsize{2017}$
• Yanchenko S.Ya. Order estimates for the approximative characteristics of functions from the classes $S^{\Omega}_{p,\theta}B$ with a given majorant of generalized mixed modules of smoothness in the uniform metric. Ukr. Math. J. May 2017, V. 68, Issue 12, pp 1975–1985; Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No.12, pp. 1705–1714.
https://link.springer.com/article/10.1007/s11253-017-1342-6
$\hspace{75mm} \normalsize{2015}$
• Stasyuk S.A., Yanchenko S.Ya. Approximation of functions from Nikolskii-Besov type classes of generalized mixed smoothness. Anal. Math. — 2015. — V.41. — P.311—334.
https://link.springer.com/article/10.1007%2Fs10476-015-0305-0#Abs1
• Yanchenko S.Ya. Approximation of functions from the isotropic Nikol’skii–Besov classes in the uniform and integral metrics, Ukr. Mat. Zh., 67, No. 10, 1423–1433 (2015); English translation: Ukr. Math. J., 67, No. 10, 1599–1610 (2016).
https://link.springer.com/article/10.1007/s11253-016-1175-8
$\hspace{75mm} \normalsize{2014}$
• Yanchenko S.Ya. Order estimates for approximating characteristics of functions from generalized classes of mixed smoothness of the Nikol’ski–Besov type, in: Collection of Works “Approximation Theory of Functions and Related Problems” [in Ukrainian], Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, 11, No. 3 (2014), pp. 330–343. (Paper)
$\hspace{75mm} \normalsize{2013}$
• Yanchenko S.Ya. Estimates for approximating characteristics of the classes of functions $S^r_{p,θ}B(\mathbb{R^d})$ in the uniform metric, in: Collection of Works “Approximation Theory of Functions and Related Problems” [in Ukrainian], Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, 10, No. 1 (2013), pp. 328–340. (Paper)
• Myroniuk V.V., Yanchenko S.Ya. Approximation of functions from generalized Nikol’skii–Besov classes by entire functions in Lebesgue spaces, Mat. Stud. 39 (2013), 190–202.
http://matstud.org.ua/texts/2013/39_2/190-202.html
• Yanchenko S.Ya. Approximation of functions from the classes $S^r_{p,θ}B$ in the uniform metric. Ukr. Math. J., Vol. 65, Issue 5, 771–779 (November 2013); Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 5, pp. 698–705, May, 2013.
https://link.springer.com/article/10.1007/s11253-013-0813-7
$\hspace{75mm} \normalsize{2010}$
• Yanchenko S.Ya. Approximations Besov classes of functions of many variables by entire functions of a special kind. Zb. Pr. Inst. Mat. NAN Ukr. — 2010. — V.7, ¹2. — P.427—434.(in Ukrainian)
• Yanchenko S.Ya. Approximations of functions with Besov classes by entire function in the space $L_q(\mathbb{R}^d)$. Zb. Pr. Inst. Mat. NAN Ukr. — 2010. — V.7, ¹1. — P.380—391. (in Ukrainian)
• Yanchenko S.Ya. Approximations of classes $S^{r}_{p,\theta}B(\mathbb{R}^d)$ of functions of many variables by entire functions of a special kind. Ukr. Math. J., V.62, Issue 8, 1307–1325, January 2011; Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 8, pp. 1124–1138, August, 2010.
https://link.springer.com/article/10.1007/s11253-011-0431-1
• Yanchenko S.Ya. Approximations of classes $B^{\Omega}_{p,\theta}$ of functions of many variables by entire functions in the space $L_q(\mathbb{R}^d)$. Ukr. Math. J., — V.62, Issue 1, P.136—150, August 2010; Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 1, pp. 123–135, January, 2010.
https://link.springer.com/article/10.1007/s11253-010-0338-2
$\hspace{75mm} \normalsize{2008}$
• Stasyuk S.A., Yanchenko S.Ya. Best approximations of classes $B^{\Omega}_{p,\theta}$ of functions of many variables in the space$L_p(\mathbb{R}^d)$. In: Theory of Approximation of Functions and Related Problems, Institute of Mathematics, National Academy of Sciences of Ukrainian, Kyiv, 2008, V.5, ¹1, pp. 367–384. (in Ukrainian)