Edit Profile (opens in new tab) Serdyuk, Anatoly S. Co-Author Distance Author ID: serdyuk.anatoly-s Published as: Serdyuk, A. S.; Serdyuk, Anatoly S.; Serdyuk, Anatolii S.; Serdyuk, Anatolii; Serdyuk, Anatoly; Serdyuk, A. more...less External Links: MGP Documents Indexed: 100 Publications since 1994, including 8 Additional arXiv Preprints Co-Authors: 32 Co-Authors with 68 Joint Publications 870 Co-Co-Authors all top 5 Co-Authors 23 single-authored 15 Sokolenko, Igor V. 14 Stepanets’, Oleksandr Ivanovych 9 Shidlich, Andrii 7 Bodenchuk, V. V. 4 Musienko, Andrii P. 4 Ovsii, Ie. Yu. 4 Stepanyuk, Tetiana A. 3 Ovsij, E. Yu. 2 Hrabova, Ulyana Z. 2 Lukovsky, Ivan Oleksandrovych 2 Makarov, Volodymyr Leonidovych 2 Motornyĭ, Vitaliĭ Pavlovych 2 Romanyuk, Anatolii Sergiiovych 2 Romanyuk, Viktor Sergiiovych 2 Samoĭlenko, Anatoliĭ Mykhaĭlovych 2 Stepaniuk, Tetiana A. 2 Vojtovych, V. A. 2 Zaderei, P. V. 1 Abdullayev, Fahreddin G. 1 Chaĭchenko, Stanislav Olegovich 1 Golub, Anatoly P. 1 Grabova, Uliana Z. 1 Konovalov, V. M. 1 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 1 Rukasov, Vladimir I. 1 Savchuk, Viktor V. 1 Shevchuk, Igor Oleksandrovych 1 Stepaniuk, T. A. 1 Stepanuk, T. A. 1 Stepanyuk, Tat’yana Anatol’evna 1 Stepanyuk, Tetyana 1 Voitsekhivs’kyj, V. R. all top 5 Serials 25 Ukraïns’kyĭ Matematychnyĭ Zhurnal 18 Ukrainian Mathematical Journal 14 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 10 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 3 Bulletin de la Société des Sciences et des Lettres de Łódź. Série: Recherches sur les Déformations 3 Carpathian Mathematical Publications 2 Analysis Mathematica 2 Journal of Approximation Theory 2 National Academy of Sciences of Ukraine. Institute of Mathematics. Preprint 1 Mathematical Notes 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Journal of Mathematical Sciences (New York) 1 Filomat 1 Methods of Functional Analysis and Topology 1 Kraĭovi Zadachi dlya Dyferentsial’nykh Rivnyan’ 1 Jaen Journal on Approximation 1 ISRN Mathematical Analysis 1 Azerbaijan Journal of Mathematics all top 5 Fields 73 Harmonic analysis on Euclidean spaces (42-XX) 58 Approximations and expansions (41-XX) 9 Functions of a complex variable (30-XX) 5 Real functions (26-XX) 2 History and biography (01-XX) 2 Numerical analysis (65-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 250 times in 71 Documents Cited by ▼ Year ▼ Direct and indirect theorems of theory of function approximation in the space \(S^p\). Zbl 1019.41008 Stepanets, A. I.; Serdyuk, A. S. 13 2002 Approximation of Poisson integrals by de la Vallée Poussin sums. Zbl 1101.42302 Serdyuk, A. S. 10 2004 Approximation of classes of analytic functions by Fourier sums in the uniform metric. Zbl 1097.42005 Serdyuk, A. S. 8 2005 Widths in the space \(S^p\) of classes of functions determined by module of continuity of their \(\psi\)-derivatives. Zbl 1105.41011 Serdyuk, A. S. 8 2003 Approximation of classes of analytic functions by de la Vallée Poussin sums in uniform metric. Zbl 1276.42004 Serdyuk, A. S.; Ovsii, Ie. Yu.; Musienko, A. P. 8 2012 Approximations by Fourier sums and best approximations on classes of analytic functions. Zbl 0987.42005 Stepanets, A. I.; Serdyuk, A. S. 7 2000 Uniform approximations of classes of \(({\psi},\overline{\beta})\)-differentiate functions by linear methods. Zbl 1249.41071 Serdyuk, A. S.; Sokolenko, I. V. 7 2011 Classification of infinitely differentiable periodic functions. Zbl 1199.26018 Stepanets, A. I.; Serdyuk, A. S.; Shidlich, A. L. 7 2008 Asymptotic behavior of best approximations of classes of Poisson integrals of functions from \(H_\omega\). Zbl 1232.41034 Serdyuk, A. S.; Sokolenko, I. V. 6 2011 Approximation of the classes \(C_{\beta}^{\psi}H_{\omega}\) by generalized Zygmund sums. Zbl 1224.41064 Serdyuk, A. S.; Ovsij, E. Yu. 6 2009 Uniform approximations by Fourier sums in classes of generalized Poisson integrals. Zbl 1438.42001 Serdyuk, A. S.; Stepanuk, T. A. 6 2019 Approximation by interpolation trigonometric polynomials on classes of periodic analytic functions. Zbl 1257.42003 Serdyuk, A. S. 6 2012 Widths and best approximations for classes of convolutions of periodic functions. Zbl 0953.42003 Serdyuk, A. S. 5 1999 On one linear method of approximation of periodic functions. Zbl 1199.42018 Serdyuk, A. S. 5 2004 Approximation of classes of analytic functions by Fourier sums in the metric of the space \(L_p\). Zbl 1097.42006 Serdyuk, A. S. 5 2005 Estimations of the best approximations for the classes of infinitely differentiable functions in uniform and integral metrics. Zbl 1351.42004 Serdyuk, A. S.; Stepanyuk, T. A. 5 2015 Uniform approximation of Poisson integrals of functions from the class \(H_\omega\) by de la Vallée Poussin sums. Zbl 1274.41040 Serdyuk, A. S.; Ovsii, Ie. Yu. 5 2012 Order estimates for the best approximation and approximation by Fourier sums of classes of infinitely differentiable functions. Zbl 1313.42019 Serdyuk, A. S.; Stepanyuk, T. A. 5 2013 Order estimates for the best approximations and approximations by Fourier sums of the classes of \((\psi, \beta)\)-differential functions. Zbl 1327.42003 Hrabova, U. Z.; Serdyuk, A. S. 5 2014 Estimates for diameters and for best approximations of classes of convolutions of periodic functions. Zbl 0944.42003 Serdyuk, A. S. 4 1998 Approximation of infinitely differentiable periodic functions by interpolation trigonometric polynomials. Zbl 1127.42301 Serdyuk, A. S. 4 2004 Approximation of the classes of generalized Poisson integrals by Fourier sums in metrics of the spaces \(L_S\). Zbl 1499.42014 Serdyuk, A. S.; Stepanyuk, T. A. 4 2017 Best approximations and widths of classes of convolutions of periodic functions of high smoothness. Zbl 1103.41030 Serdyuk, A. S. 4 2005 On relationship between classes of \((\psi,\overline{\beta})\)-differentiable functions and Gevrey classes. Zbl 1224.42008 Stepanets, A. I.; Serdyuk, A. S.; Shidlich, A. L. 4 2009 Lebesgue type inequalities for the de la Vallée Poussin sums in approximation of Poisson integrals. Zbl 1240.41045 Serdyuk, A. S.; Musienko, A. P. 4 2010 Approximation of Poisson integrals by de la Vallée-Poussin sums in uniform and integral metrics. Zbl 1240.41044 Serdyuk, A. S. 4 2010 Approximation of Poisson integrals by Vallée-Poussin sums in uniform and integral metrics. Zbl 1199.41106 Serdyuk, A. S. 4 2009 Exact values of Kolmogorov widths of classes of Poisson integrals. Zbl 1283.41023 Serdyuk, A. S.; Bodenchuk, V. V. 4 2013 Lebesgue-type inequalities for the de la Valée-Poussin sums on sets of analytic functions. Zbl 1294.30078 Musienko, A. P.; Serdyuk, A. S. 4 2013 Lebesgue inequalities for Poisson integrals. Zbl 0987.42006 Stepanets, A. I.; Serdyuk, A. S. 3 2000 Approximation of periodic analytic functions by interpolation trigonometric polynomials. Zbl 0988.42005 Stepanets, A. I.; Serdyuk, A. S. 3 2000 On the best approximation in classes of convolutions of periodic functions. Zbl 1129.41310 Serdyuk, A. S. 3 2002 Approximation of continuous periodic functions by de la Vallée Poussin sums. Zbl 1249.41042 Ovsij, E. Yu.; Serdyuk, A. S. 3 2011 Approximation of classes of entire functions by interpolation analogues of the de la Vallée Poussin sums. Zbl 1240.41046 Serdyuk, A. S.; Vojtovych, V. A. 3 2010 Approximation by linear methods of classes of \((\psi,\overline{\beta})\)-differentiable functions. Zbl 1313.42018 Serdyuk, A. S.; Sokolenko, I. V. 3 2013 Uniform approximations by Fourier sums on classes of convolutions with generalized Poisson kernels. Zbl 1374.42008 Serdyuk, A. S.; Stepanyuk, T. A. 3 2016 Order estimates of the uniform approximations by Zygmund sums on the classes of convolutions of periodic functions. Zbl 1476.41014 Serdyuk, A. S.; Hrabova, U. Z. 3 2021 On some new criteria for infinite differentiability of periodic functions. Zbl 1164.26311 Stepanets’, O. I.; Serdyuk, A. S.; Shydlich, A. L. 3 2007 Approximation by Fourier series in classes of differentiable functions with high exponents of smoothness. Zbl 1463.42004 Serdyuk, A. S.; Sokolenko, I. V. 3 2019 Order estimates for the best orthogonal trigonometric approximations of the classes of convolutions of periodic functions of low smoothness. Zbl 1377.42001 Serdyuk, A. S.; Stepanyuk, T. A. 3 2015 Lebesgue-type inequalities for the de la Vallée-Poussin sums on sets of entire functions. Zbl 1294.30079 Musienko, A. P.; Serdyuk, A. S. 3 2013 On asymptotically exact error estimates for the approximation of functions of high smoothness by interpolating trigonometric polynomials. Zbl 1024.42500 Serdyuk, A. S. 2 1999 Lower bounds for widths classes of convolutions of periodic functions in \(C\) and \(L\) metric. Zbl 0886.41022 Stepanets, A. I.; Serdyuk, A. S. 2 1995 On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials. Zbl 0936.42001 Serdyuk, A. S. 2 1995 Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness. Zbl 1462.41013 Serdyuk, Anatolii S.; Sokolenko, Igor V. 2 2021 Order estimates for the best approximations and approximations by Fourier sums in the classes of convolutions of periodic functions of low smoothness in the uniform metric. Zbl 1350.42002 Serdyuk, A. S.; Stepanyuk, T. A. 2 2015 Approximation on classes of entire functions by de la Vallée-Poussin sums. Zbl 1199.30234 Serdyuk, A. S.; Ovsij, E. Yu. 2 2008 Estimates for approximations by Fourier sums, best approximations and best orthogonal trigonometric approximations of the classes of \((\psi, \beta)\)-differentiable functions. Zbl 1368.42002 Serdyuk, Anatoly S.; Stepanyuk, Tetiana A. 2 2016 Approximation of classes of analytic functions by a linear method of special form. Zbl 1238.42001 Serdyuk, A. S.; Chaichenko, S. O. 2 2011 Approximation of periodic analytic functions by trigonometric interpolation polynomials in the metric of the space \(L\). Zbl 1006.42006 Serdyuk, A. S. 2 2002 An estimate for the remainder of the approximation by interpolating trigonometric polynomials in classes of indefinitely differentiable functions. Zbl 1028.42005 Stepanets, O. I.; Serdyuk, A. S. 2 2000 Approximation by interpolation trigonometric polynomials in metrics of the space \(L_p\) on the classes of periodic entire functions. Zbl 1435.42002 Serdyuk, A. S.; Sokolenko, I. V. 2 2019 Approximation of Poisson integrals by one linear approximation method in uniform and integral metrics. Zbl 1164.41333 Serdyuk, A. S. 2 2008 Widths of functional classes defined by the majorants of generalized moduli of smoothness in the spaces \(\mathcal{S}^p\). Zbl 1492.41009 Abdullayev, F. G.; Serdyuk, A. S.; Shidlich, A. L. 2 2021 Asymptotically best possible Lebesgue-type inequalities for the Fourier sums on sets of generalized Poisson integrals. Zbl 1499.42013 Serdyuk, Anatoly; Stepanyuk, Tetiana 2 2020 Approximation by Fourier sums in the classes of Weyl-Nagy differentiable functions with high exponent of smoothness. Zbl 1505.42003 Serdyuk, A. S.; Sokolenko, I. V. 2 2022 About Lebesgue inequalities on the classes of generalized Poisson integrals. Zbl 1482.42004 Serdyuk, Anatoly S.; Stepanyuk, Tetiana A. 2 2021 On the existence and uniqueness of a solution of the problem of uniform \(SK\)-spline interpolation. Zbl 0965.41005 Serdyuk, A. S. 1 1999 Approximation of periodic functions of high smoothness by interpolation trigonometric polynomials in the metric of \(L_1\). Zbl 0988.42015 Serdyuk, A. S. 1 2000 On the existence of interpolating \(SK\)-splines. Zbl 0943.41004 Stepanets, A. I.; Serdyuk, A. S. 1 1994 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 \(L_p\). Zbl 1224.41027 Serdyuk, A. S.; Sokolenko, I. V. 1 2010 Uniform approximation of periodical functions by trigonometric sums of special type. Zbl 1286.42002 Serdyuk, A. S.; Ovsii, Ie. Yu. 1 2014 Estimates from below for Kolmogorov widths in classes of Poisson integrals. Zbl 1313.41058 Serdyuk, A. S.; Bodenchuk, V. V. 1 2013 Approximations of classes \((\psi,\overline{\beta})\)-differentiable functions by interpolating trigonometric polynomials. Zbl 1374.42007 Serdyuk, A. S.; Sokolenko, I. V. 1 2016 Exact values of Kolmogorov widths for the classes of analytic functions. I. Zbl 1350.41030 Bodenchuk, V. V.; Serdyuk, A. S. 1 2015 Estimates of the best m-term trigonometric approximations of classes of analytic functions. Zbl 1324.30086 Serdyuk, A. S.; Stepanyuk, T. A. 1 2015 The best approximation of Poisson integrals of functions from the class \(H_{\omega}\). Zbl 1199.42019 Serdyuk, A. S.; Sokolenko, I. V. 1 2010 Approximation of infinitely differentiable periodic functions by trigonometric interpolation polynomials in integral metric. Zbl 1006.42005 Serdyuk, A. S. 1 2001 Asymptotic equalities for best approximations for classes of infinitely differentiable functions defined by the modulus of continuity. Zbl 1352.42006 Serdyuk, A. S.; Sokolenko, I. V. 1 2016 Uniform approximations by Fourier sums on the sets of convolutions of periodic functions of high smoothness. Zbl 1525.42002 Serdyuk, A.; Stepanyuk, T. 1 2023 Direct and inverse theorems on the approximation of almost periodic functions in Besicovitch-Stepanets spaces. Zbl 1485.42010 Serdyuk, A. S.; Shidlich, A. L. 1 2021 Approximation of classes of convolutions of periodic functions by linear methods based on Fourier-Lagrange coefficients. Zbl 1389.42002 Serdyuk, A. S.; Sokolenko, I. V. 1 2017 Approximation of classes of analytic functions by interpolation anagoges of de la Vallée Poussin sums. Zbl 1289.42010 Vojtovych, V. A.; Serdyuk, A. S. 1 2012 Uniform approximations by Fourier sums on the sets of convolutions of periodic functions of high smoothness. Zbl 1525.42002 Serdyuk, A.; Stepanyuk, T. 1 2023 Approximation by Fourier sums in the classes of Weyl-Nagy differentiable functions with high exponent of smoothness. Zbl 1505.42003 Serdyuk, A. S.; Sokolenko, I. V. 2 2022 Order estimates of the uniform approximations by Zygmund sums on the classes of convolutions of periodic functions. Zbl 1476.41014 Serdyuk, A. S.; Hrabova, U. Z. 3 2021 Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness. Zbl 1462.41013 Serdyuk, Anatolii S.; Sokolenko, Igor V. 2 2021 Widths of functional classes defined by the majorants of generalized moduli of smoothness in the spaces \(\mathcal{S}^p\). Zbl 1492.41009 Abdullayev, F. G.; Serdyuk, A. S.; Shidlich, A. L. 2 2021 About Lebesgue inequalities on the classes of generalized Poisson integrals. Zbl 1482.42004 Serdyuk, Anatoly S.; Stepanyuk, Tetiana A. 2 2021 Direct and inverse theorems on the approximation of almost periodic functions in Besicovitch-Stepanets spaces. Zbl 1485.42010 Serdyuk, A. S.; Shidlich, A. L. 1 2021 Asymptotically best possible Lebesgue-type inequalities for the Fourier sums on sets of generalized Poisson integrals. Zbl 1499.42013 Serdyuk, Anatoly; Stepanyuk, Tetiana 2 2020 Uniform approximations by Fourier sums in classes of generalized Poisson integrals. Zbl 1438.42001 Serdyuk, A. S.; Stepanuk, T. A. 6 2019 Approximation by Fourier series in classes of differentiable functions with high exponents of smoothness. Zbl 1463.42004 Serdyuk, A. S.; Sokolenko, I. V. 3 2019 Approximation by interpolation trigonometric polynomials in metrics of the space \(L_p\) on the classes of periodic entire functions. Zbl 1435.42002 Serdyuk, A. S.; Sokolenko, I. V. 2 2019 Approximation of the classes of generalized Poisson integrals by Fourier sums in metrics of the spaces \(L_S\). Zbl 1499.42014 Serdyuk, A. S.; Stepanyuk, T. A. 4 2017 Approximation of classes of convolutions of periodic functions by linear methods based on Fourier-Lagrange coefficients. Zbl 1389.42002 Serdyuk, A. S.; Sokolenko, I. V. 1 2017 Uniform approximations by Fourier sums on classes of convolutions with generalized Poisson kernels. Zbl 1374.42008 Serdyuk, A. S.; Stepanyuk, T. A. 3 2016 Estimates for approximations by Fourier sums, best approximations and best orthogonal trigonometric approximations of the classes of \((\psi, \beta)\)-differentiable functions. Zbl 1368.42002 Serdyuk, Anatoly S.; Stepanyuk, Tetiana A. 2 2016 Approximations of classes \((\psi,\overline{\beta})\)-differentiable functions by interpolating trigonometric polynomials. Zbl 1374.42007 Serdyuk, A. S.; Sokolenko, I. V. 1 2016 Asymptotic equalities for best approximations for classes of infinitely differentiable functions defined by the modulus of continuity. Zbl 1352.42006 Serdyuk, A. S.; Sokolenko, I. V. 1 2016 Estimations of the best approximations for the classes of infinitely differentiable functions in uniform and integral metrics. Zbl 1351.42004 Serdyuk, A. S.; Stepanyuk, T. A. 5 2015 Order estimates for the best orthogonal trigonometric approximations of the classes of convolutions of periodic functions of low smoothness. Zbl 1377.42001 Serdyuk, A. S.; Stepanyuk, T. A. 3 2015 Order estimates for the best approximations and approximations by Fourier sums in the classes of convolutions of periodic functions of low smoothness in the uniform metric. Zbl 1350.42002 Serdyuk, A. S.; Stepanyuk, T. A. 2 2015 Exact values of Kolmogorov widths for the classes of analytic functions. I. Zbl 1350.41030 Bodenchuk, V. V.; Serdyuk, A. S. 1 2015 Estimates of the best m-term trigonometric approximations of classes of analytic functions. Zbl 1324.30086 Serdyuk, A. S.; Stepanyuk, T. A. 1 2015 Order estimates for the best approximations and approximations by Fourier sums of the classes of \((\psi, \beta)\)-differential functions. Zbl 1327.42003 Hrabova, U. Z.; Serdyuk, A. S. 5 2014 Uniform approximation of periodical functions by trigonometric sums of special type. Zbl 1286.42002 Serdyuk, A. S.; Ovsii, Ie. Yu. 1 2014 Order estimates for the best approximation and approximation by Fourier sums of classes of infinitely differentiable functions. Zbl 1313.42019 Serdyuk, A. S.; Stepanyuk, T. A. 5 2013 Exact values of Kolmogorov widths of classes of Poisson integrals. Zbl 1283.41023 Serdyuk, A. S.; Bodenchuk, V. V. 4 2013 Lebesgue-type inequalities for the de la Valée-Poussin sums on sets of analytic functions. Zbl 1294.30078 Musienko, A. P.; Serdyuk, A. S. 4 2013 Approximation by linear methods of classes of \((\psi,\overline{\beta})\)-differentiable functions. Zbl 1313.42018 Serdyuk, A. S.; Sokolenko, I. V. 3 2013 Lebesgue-type inequalities for the de la Vallée-Poussin sums on sets of entire functions. Zbl 1294.30079 Musienko, A. P.; Serdyuk, A. S. 3 2013 Estimates from below for Kolmogorov widths in classes of Poisson integrals. Zbl 1313.41058 Serdyuk, A. S.; Bodenchuk, V. V. 1 2013 Approximation of classes of analytic functions by de la Vallée Poussin sums in uniform metric. Zbl 1276.42004 Serdyuk, A. S.; Ovsii, Ie. Yu.; Musienko, A. P. 8 2012 Approximation by interpolation trigonometric polynomials on classes of periodic analytic functions. Zbl 1257.42003 Serdyuk, A. S. 6 2012 Uniform approximation of Poisson integrals of functions from the class \(H_\omega\) by de la Vallée Poussin sums. Zbl 1274.41040 Serdyuk, A. S.; Ovsii, Ie. Yu. 5 2012 Approximation of classes of analytic functions by interpolation anagoges of de la Vallée Poussin sums. Zbl 1289.42010 Vojtovych, V. A.; Serdyuk, A. S. 1 2012 Uniform approximations of classes of \(({\psi},\overline{\beta})\)-differentiate functions by linear methods. Zbl 1249.41071 Serdyuk, A. S.; Sokolenko, I. V. 7 2011 Asymptotic behavior of best approximations of classes of Poisson integrals of functions from \(H_\omega\). Zbl 1232.41034 Serdyuk, A. S.; Sokolenko, I. V. 6 2011 Approximation of continuous periodic functions by de la Vallée Poussin sums. Zbl 1249.41042 Ovsij, E. Yu.; Serdyuk, A. S. 3 2011 Approximation of classes of analytic functions by a linear method of special form. Zbl 1238.42001 Serdyuk, A. S.; Chaichenko, S. O. 2 2011 Lebesgue type inequalities for the de la Vallée Poussin sums in approximation of Poisson integrals. Zbl 1240.41045 Serdyuk, A. S.; Musienko, A. P. 4 2010 Approximation of Poisson integrals by de la Vallée-Poussin sums in uniform and integral metrics. Zbl 1240.41044 Serdyuk, A. S. 4 2010 Approximation of classes of entire functions by interpolation analogues of the de la Vallée Poussin sums. Zbl 1240.41046 Serdyuk, A. S.; Vojtovych, V. A. 3 2010 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 \(L_p\). Zbl 1224.41027 Serdyuk, A. S.; Sokolenko, I. V. 1 2010 The best approximation of Poisson integrals of functions from the class \(H_{\omega}\). Zbl 1199.42019 Serdyuk, A. S.; Sokolenko, I. V. 1 2010 Approximation of the classes \(C_{\beta}^{\psi}H_{\omega}\) by generalized Zygmund sums. Zbl 1224.41064 Serdyuk, A. S.; Ovsij, E. Yu. 6 2009 On relationship between classes of \((\psi,\overline{\beta})\)-differentiable functions and Gevrey classes. Zbl 1224.42008 Stepanets, A. I.; Serdyuk, A. S.; Shidlich, A. L. 4 2009 Approximation of Poisson integrals by Vallée-Poussin sums in uniform and integral metrics. Zbl 1199.41106 Serdyuk, A. S. 4 2009 Classification of infinitely differentiable periodic functions. Zbl 1199.26018 Stepanets, A. I.; Serdyuk, A. S.; Shidlich, A. L. 7 2008 Approximation on classes of entire functions by de la Vallée-Poussin sums. Zbl 1199.30234 Serdyuk, A. S.; Ovsij, E. Yu. 2 2008 Approximation of Poisson integrals by one linear approximation method in uniform and integral metrics. Zbl 1164.41333 Serdyuk, A. S. 2 2008 On some new criteria for infinite differentiability of periodic functions. Zbl 1164.26311 Stepanets’, O. I.; Serdyuk, A. S.; Shydlich, A. L. 3 2007 Approximation of classes of analytic functions by Fourier sums in the uniform metric. Zbl 1097.42005 Serdyuk, A. S. 8 2005 Approximation of classes of analytic functions by Fourier sums in the metric of the space \(L_p\). Zbl 1097.42006 Serdyuk, A. S. 5 2005 Best approximations and widths of classes of convolutions of periodic functions of high smoothness. Zbl 1103.41030 Serdyuk, A. S. 4 2005 Approximation of Poisson integrals by de la Vallée Poussin sums. Zbl 1101.42302 Serdyuk, A. S. 10 2004 On one linear method of approximation of periodic functions. Zbl 1199.42018 Serdyuk, A. S. 5 2004 Approximation of infinitely differentiable periodic functions by interpolation trigonometric polynomials. Zbl 1127.42301 Serdyuk, A. S. 4 2004 Widths in the space \(S^p\) of classes of functions determined by module of continuity of their \(\psi\)-derivatives. Zbl 1105.41011 Serdyuk, A. S. 8 2003 Direct and indirect theorems of theory of function approximation in the space \(S^p\). Zbl 1019.41008 Stepanets, A. I.; Serdyuk, A. S. 13 2002 On the best approximation in classes of convolutions of periodic functions. Zbl 1129.41310 Serdyuk, A. S. 3 2002 Approximation of periodic analytic functions by trigonometric interpolation polynomials in the metric of the space \(L\). Zbl 1006.42006 Serdyuk, A. S. 2 2002 Approximation of infinitely differentiable periodic functions by trigonometric interpolation polynomials in integral metric. Zbl 1006.42005 Serdyuk, A. S. 1 2001 Approximations by Fourier sums and best approximations on classes of analytic functions. Zbl 0987.42005 Stepanets, A. I.; Serdyuk, A. S. 7 2000 Lebesgue inequalities for Poisson integrals. Zbl 0987.42006 Stepanets, A. I.; Serdyuk, A. S. 3 2000 Approximation of periodic analytic functions by interpolation trigonometric polynomials. Zbl 0988.42005 Stepanets, A. I.; Serdyuk, A. S. 3 2000 An estimate for the remainder of the approximation by interpolating trigonometric polynomials in classes of indefinitely differentiable functions. Zbl 1028.42005 Stepanets, O. I.; Serdyuk, A. S. 2 2000 Approximation of periodic functions of high smoothness by interpolation trigonometric polynomials in the metric of \(L_1\). Zbl 0988.42015 Serdyuk, A. S. 1 2000 Widths and best approximations for classes of convolutions of periodic functions. Zbl 0953.42003 Serdyuk, A. S. 5 1999 On asymptotically exact error estimates for the approximation of functions of high smoothness by interpolating trigonometric polynomials. Zbl 1024.42500 Serdyuk, A. S. 2 1999 On the existence and uniqueness of a solution of the problem of uniform \(SK\)-spline interpolation. Zbl 0965.41005 Serdyuk, A. S. 1 1999 Estimates for diameters and for best approximations of classes of convolutions of periodic functions. Zbl 0944.42003 Serdyuk, A. S. 4 1998 Lower bounds for widths classes of convolutions of periodic functions in \(C\) and \(L\) metric. Zbl 0886.41022 Stepanets, A. I.; Serdyuk, A. S. 2 1995 On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials. Zbl 0936.42001 Serdyuk, A. S. 2 1995 On the existence of interpolating \(SK\)-splines. Zbl 0943.41004 Stepanets, A. I.; Serdyuk, A. S. 1 1994 all cited Publications top 5 cited Publications all top 5 Cited by 56 Authors 24 Serdyuk, Anatoly S. 7 Shidlich, Andrii 6 Chaĭchenko, Stanislav Olegovich 6 Sokolenko, Igor V. 5 Abdullayev, Fahreddin G. 5 Vakarchuk, Sergei Borisovich 3 Bodenchuk, V. V. 3 Jafarov, Sadulla Z. 3 Musienko, Andrii P. 3 Potseĭko, Pavel Gennad’evich 3 Rovba, Evgeniĭ Alekseevich 3 Rovenska, Ol’ga Gennadievna 3 Savchuk, Viktor V. 3 Shkapa, Viktoriya V. 2 Hrabova, Ulyana Z. 2 Imashkyzy, Meerim 2 Kharkevych, Yuriy I. 2 Lasuriya, Robert Andreevich 2 Novikov, Oleg Aleksandrovich 2 Ovsii, Ie. Yu. 2 Rovenskaya, Ol’ga Gennadievna 2 Stepanyuk, Tetiana A. 1 Babenko, Vladyslav Fedorovych 1 Barabash, Oleg V. 1 Değer, Uğur 1 Fedunyk-Yaremchuk, Oksana Volodymyrivna 1 Gölbol, Sibel Yasemin 1 Hembars’ka, Svitlana Borysivna 1 Kalchuk, Inna V. 1 Konareva, S. V. 1 Kravets, Vasyl’ I. 1 Lukova-Chuiko, Nataliia V. 1 Magomed-Kasumov, Magomedrasul G. 1 Mehta, Harsh 1 Meremelia, Iryna 1 Novikov, Oleg O. 1 Özkartepe, Naciye Pelin 1 Pokrovskii, Andrei Vladimirovich 1 Romanyuk, Ihor A. 1 Savchuk, M. V. 1 Shabozov, Mirgand Shabozovich 1 Shevaldin, Valeriĭ Trifonovich 1 Shevaldina, O. Ya. 1 Shulyk, T. V. 1 Shutovskyi, Arsen M. 1 Shvachko, A. V. 1 Sobchuk, Valentyn V. 1 Stepanets’, Oleksandr Ivanovych 1 Stepanyuk, Tetyana 1 Svynchuk, Olga V. 1 Vinogradov, Oleg Leonidovich 1 Vlasyk, Hanna M. 1 Voĭtovych, V. A. 1 Yusupov, Gulzorkhon Amirshoevich 1 Zamrii, Iryna V. 1 Zhyhallo, Tetyana V. all top 5 Cited in 22 Serials 26 Ukrainian Mathematical Journal 8 Mathematical Notes 5 Journal of Mathematical Sciences (New York) 4 Carpathian Mathematical Publications 3 Siberian Mathematical Journal 3 Journal of Classical Analysis 2 Journal of Approximation Theory 2 Cybernetics and Systems Analysis 2 Filomat 2 Lobachevskii Journal of Mathematics 1 Analysis Mathematica 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Turkish Journal of Mathematics 1 Mathematical Inequalities & Applications 1 Vestsi Natsyyanal’naĭ Akadèmii Navuk Belarusi. Seryya Fizika-Matèmatychnykh Navuk 1 Chebyshevskiĭ Sbornik 1 Proceedings of the Steklov Institute of Mathematics 1 Nonlinear Oscillations 1 ISRN Mathematical Analysis 1 Arabian Journal of Mathematics 1 Caspian Journal of Applied Mathematics, Ecology and Economics all top 5 Cited in 11 Fields 48 Harmonic analysis on Euclidean spaces (42-XX) 46 Approximations and expansions (41-XX) 11 Functions of a complex variable (30-XX) 5 Real functions (26-XX) 4 Functional analysis (46-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year