Sokolenko Igor
Publications
A.S. Serdyuk, I.V. Sokolenko. Approximation by Fourier sums in classes of differentiable functions with high exponents of smoothness // Methods of Functional Analysis and Topology. Vol. 25 (2019), no. 4, pp. – 381-387.
A.S. Serdyuk, I.V. Sokolenko. Approximation by interpolation trigonometric polynomials in the metrics of $L_p$ spaces on classes of periodic integer functions // Ukrainian Mathematical Journal, Vol. 71, no 2 (2019), 283 – 292.
Samoilenko, A.M.; Lukovs’kyi, I.O.; Makarov, V.L.; Motornyi, V.P., Zaderei, P.V.; Romanyuk, A.S.; Golub À.P.; Serdyuk, A.S.; Savchuk V.V.; Romanyuk, V.S.; Sokolenko, I. V.; Shydlich, A.L. Oleksandr Ivanovych Stepanets’ (on his 75th birthday) // Ukr. Mat. Zh. - 2017. - 69, ¹ 5. - P. 579-581.
A.S. Serdyuk, I.V. Sokolenko. Approximation of classes of convolutions of periodic functions by linear methods constructed on basis of Fourier-Lagrange coefficients// Analysis and application/ (Ukrainian) Zb. Pr. Inst. Mat. NAN Ukr. 14, No. 1, 238-248 (2017).
A.S. Serdyuk, I.V. Sokolenko. Asymptotic equalities for best approximations for classes of infinitely differentiable functions defined by the modulus of continuity. (Russian) Mat. Zametki 99 (2016), no. 6, 904--920; translation in Math. Notes 99 (2016), no. 5-6, 901–915.
A.S. Serdyuk, I.V. Sokolenko. Approximation by of classes of (ψ,β)-differentiable functions by interpolation trigonometric polynomials// Zb. Pr. Inst. Mat. NAN Ukr. 13, No. 1, 289-299 (2016).
A.S. Serdyuk, I.V. Sokolenko. Approximation by linear methods of classes of (ψ,β)-differentiable functions. (Ukrainian) Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 1, 245-254 (2013).
A.M. Samoilenko, A.S. Romanyuk, A.S. Serdyuk, I.V. Sokolenko. International Conference "Theory of Approximation of Functions and its Applications", dedicated to the 70th anniversary of corresponding member of NAS of Ukraine, Professor A.I. STEPANETS (1942-2007) // Ukr. Math. J. 64, No. 10, 1438-1440 (2012).
A.S. Serdyuk, I.V. Sokolenko. Uniform approximations of classes of $({\psi},\overline{\beta})$-differentiate functions by linear methods // Zb. Pr. Inst. Mat. NAN Ukr. 8, No. 1, 181-189 (2011).
A.S. Serdyuk, I.V. Sokolenko. Asymptotic behavior of best approximations of classes of Poisson integrals of functions from // Journal of Approximation Theory. - 2011. – 163, ¹ 11. – P. 1692-1706.
À.S. Serdyuk, I.V. Sokolenko. Asymptotic Behavior of Best approximations of Classes of Periodic Analitic Functions Defined by Moduli of Continuity // Bulgarian-Turkish-Ukrainian Scientific Conference "Mathematical Analysis, Differential Equations and their Applications", Sunny Beach, 15-20 September, 2010. – Sofia: Academic Publishing House "Prof. Marin Drinov", 2011. – P. 173–182.
I.V. Sokolenko, Approximation of classes of locally summable functions by certain linear operators. (Ukrainian) Zb. Pr. Inst. Mat. NAN Ukr. 7, No. 1, 317-324 (2010).
A.S. Serdyuk, I.V. Sokolenko, Linear approximation methods and the best approximations of the Poisson integrals of functions from the classes $H_{\omega_p}$ in the metrics of the spaces $L_p$. (Ukrainian; English) Ukr. Mat. Zh. 62, No. 7, 979-996 (2010); translation in Ukr. Math. J. 62, No. 7, 1139-1157 (2010).
A.S. Serdyuk, I.V. Sokolenko, The best approximation of Poisson integrals of functions from the class $H_{\omega}$. (Ukrainian. English summary) Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2010, No. 2, 33-37 (2010).
A.S. Serdyuk, I.V. Sokolenko. International conference "Differential Equations, Theory of functions and their applications", dedicated to the 70-th anniversary of akademician A.M.Samoilenko // Bulletin of the Ukrainian Mathematical Society, 2008-2009, ¹ 23-26, 34-35.
I.V. Sokolenko, Approximation by certain linear operators of classes of continuous $(\psi,\beta)$-differentiable functions on the real axis. (Ukrainian) Zb. Pr. Inst. Mat. NAN Ukr. 5, No. 1, 352-366 (2008).
S.P. Vojtenko, I.V. Sokolenko, Approximation of classes of $\bar\psi$-integrals of functions determined on the real axis by Rogozinsky operators. (Ukrainian) Zb. Pr. Inst. Mat. NAN Ukr. 5, No. 1, 49-65 (2008).
I.V. Sokolenko, Approximation by the Serdyuk operators of continuous $(\psi,\beta)$-differentiable functions given on the real line. (Ukrainian) Zb. Pr. Inst. Mat. NAN Ukr. 4, No. 1, 318-334 (2007).
À.Ì. Samoilenko, O.I. Stepanets', V.V. Savchuk, I.V. Sokolenko. International Conference "Mathematical Analysis and Differential Equations and Their Applications" // Ukr. Mat. Zh. 59, No. 3, 431 (2007).
O.I. Stepanets', I.V. Sokolenko, Approximation of the $\overline{\psi}$-integrals of functions efined on the real axis by Fourier operators. (Ukrainian, English) Ukr. Mat. Zh. 56, No. 7, 960-965 (2004); translation in Ukr. Math. J. 56, No. 7, 1144-1150 (2004).
O.I. Stepanets', I.V. Sokolenko, Approximation of Poisson integrals of functions defined on real axis. (Ukrainian. English summary) Zb. Pr. Inst. Mat. NAN Ukr. 1, No. 1, 360-374 (2004).
I.V. Sokolenko, Approximation of $\overline{\psi}$-integrals of continuous functions given on the real line by the Fourier operators. (Ukrainian, English) Ukr. Mat. Zh. 56, No. 5, 663-676 (2004); translation in Ukr. Math. J. 56, No. 5, 799-816 (2004).
I.V. Sokolenko, Simultaneous approximation of $\overline{\psi}$-integrals of periodic functions by the Fourier sums. (Ukrainian) // Ekstremal'ni zadachi teori\"\i\ funktsij ta sumizhni pytannya. Ky\"iv: Instytut Matematyky NAN Ukra\"iny. Pratsi Instytutu Matematyky Natsional'no\"\i\ Akademi\"\i\ Nauk Ukra\"iny. Matematyka ta \"\i\"\i\ Zastosuvannya 46, 249-264 (2003).
A.S. Serdyuk, I.V. Sokolenko. Approximation by interpolation trigonometric polynomials in the metrics of $L_p$ spaces on classes of periodic integer functions // Ukrainian Mathematical Journal, Vol. 71, no 2 (2019), 283 – 292.
Samoilenko, A.M.; Lukovs’kyi, I.O.; Makarov, V.L.; Motornyi, V.P., Zaderei, P.V.; Romanyuk, A.S.; Golub À.P.; Serdyuk, A.S.; Savchuk V.V.; Romanyuk, V.S.; Sokolenko, I. V.; Shydlich, A.L. Oleksandr Ivanovych Stepanets’ (on his 75th birthday) // Ukr. Mat. Zh. - 2017. - 69, ¹ 5. - P. 579-581.
A.S. Serdyuk, I.V. Sokolenko. Approximation of classes of convolutions of periodic functions by linear methods constructed on basis of Fourier-Lagrange coefficients// Analysis and application/ (Ukrainian) Zb. Pr. Inst. Mat. NAN Ukr. 14, No. 1, 238-248 (2017).
A.S. Serdyuk, I.V. Sokolenko. Asymptotic equalities for best approximations for classes of infinitely differentiable functions defined by the modulus of continuity. (Russian) Mat. Zametki 99 (2016), no. 6, 904--920; translation in Math. Notes 99 (2016), no. 5-6, 901–915.
A.S. Serdyuk, I.V. Sokolenko. Approximation by of classes of (ψ,β)-differentiable functions by interpolation trigonometric polynomials// Zb. Pr. Inst. Mat. NAN Ukr. 13, No. 1, 289-299 (2016).
A.S. Serdyuk, I.V. Sokolenko. Approximation by linear methods of classes of (ψ,β)-differentiable functions. (Ukrainian) Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 1, 245-254 (2013).
A.M. Samoilenko, A.S. Romanyuk, A.S. Serdyuk, I.V. Sokolenko. International Conference "Theory of Approximation of Functions and its Applications", dedicated to the 70th anniversary of corresponding member of NAS of Ukraine, Professor A.I. STEPANETS (1942-2007) // Ukr. Math. J. 64, No. 10, 1438-1440 (2012).
A.S. Serdyuk, I.V. Sokolenko. Uniform approximations of classes of $({\psi},\overline{\beta})$-differentiate functions by linear methods // Zb. Pr. Inst. Mat. NAN Ukr. 8, No. 1, 181-189 (2011).
A.S. Serdyuk, I.V. Sokolenko. Asymptotic behavior of best approximations of classes of Poisson integrals of functions from // Journal of Approximation Theory. - 2011. – 163, ¹ 11. – P. 1692-1706.
À.S. Serdyuk, I.V. Sokolenko. Asymptotic Behavior of Best approximations of Classes of Periodic Analitic Functions Defined by Moduli of Continuity // Bulgarian-Turkish-Ukrainian Scientific Conference "Mathematical Analysis, Differential Equations and their Applications", Sunny Beach, 15-20 September, 2010. – Sofia: Academic Publishing House "Prof. Marin Drinov", 2011. – P. 173–182.
I.V. Sokolenko, Approximation of classes of locally summable functions by certain linear operators. (Ukrainian) Zb. Pr. Inst. Mat. NAN Ukr. 7, No. 1, 317-324 (2010).
A.S. Serdyuk, I.V. Sokolenko, Linear approximation methods and the best approximations of the Poisson integrals of functions from the classes $H_{\omega_p}$ in the metrics of the spaces $L_p$. (Ukrainian; English) Ukr. Mat. Zh. 62, No. 7, 979-996 (2010); translation in Ukr. Math. J. 62, No. 7, 1139-1157 (2010).
A.S. Serdyuk, I.V. Sokolenko, The best approximation of Poisson integrals of functions from the class $H_{\omega}$. (Ukrainian. English summary) Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2010, No. 2, 33-37 (2010).
A.S. Serdyuk, I.V. Sokolenko. International conference "Differential Equations, Theory of functions and their applications", dedicated to the 70-th anniversary of akademician A.M.Samoilenko // Bulletin of the Ukrainian Mathematical Society, 2008-2009, ¹ 23-26, 34-35.
I.V. Sokolenko, Approximation by certain linear operators of classes of continuous $(\psi,\beta)$-differentiable functions on the real axis. (Ukrainian) Zb. Pr. Inst. Mat. NAN Ukr. 5, No. 1, 352-366 (2008).
S.P. Vojtenko, I.V. Sokolenko, Approximation of classes of $\bar\psi$-integrals of functions determined on the real axis by Rogozinsky operators. (Ukrainian) Zb. Pr. Inst. Mat. NAN Ukr. 5, No. 1, 49-65 (2008).
I.V. Sokolenko, Approximation by the Serdyuk operators of continuous $(\psi,\beta)$-differentiable functions given on the real line. (Ukrainian) Zb. Pr. Inst. Mat. NAN Ukr. 4, No. 1, 318-334 (2007).
À.Ì. Samoilenko, O.I. Stepanets', V.V. Savchuk, I.V. Sokolenko. International Conference "Mathematical Analysis and Differential Equations and Their Applications" // Ukr. Mat. Zh. 59, No. 3, 431 (2007).
O.I. Stepanets', I.V. Sokolenko, Approximation of the $\overline{\psi}$-integrals of functions efined on the real axis by Fourier operators. (Ukrainian, English) Ukr. Mat. Zh. 56, No. 7, 960-965 (2004); translation in Ukr. Math. J. 56, No. 7, 1144-1150 (2004).
O.I. Stepanets', I.V. Sokolenko, Approximation of Poisson integrals of functions defined on real axis. (Ukrainian. English summary) Zb. Pr. Inst. Mat. NAN Ukr. 1, No. 1, 360-374 (2004).
I.V. Sokolenko, Approximation of $\overline{\psi}$-integrals of continuous functions given on the real line by the Fourier operators. (Ukrainian, English) Ukr. Mat. Zh. 56, No. 5, 663-676 (2004); translation in Ukr. Math. J. 56, No. 5, 799-816 (2004).
I.V. Sokolenko, Simultaneous approximation of $\overline{\psi}$-integrals of periodic functions by the Fourier sums. (Ukrainian) // Ekstremal'ni zadachi teori\"\i\ funktsij ta sumizhni pytannya. Ky\"iv: Instytut Matematyky NAN Ukra\"iny. Pratsi Instytutu Matematyky Natsional'no\"\i\ Akademi\"\i\ Nauk Ukra\"iny. Matematyka ta \"\i\"\i\ Zastosuvannya 46, 249-264 (2003).