A. S. Serdyuk

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Person:325557

Available identifiers

zbMath Open serdyuk.anatoly-sMaRDI QIDQ325557

List of research outcomes





PublicationDate of PublicationType
Lebesgue-type inequalities for the Fourier sums on classes of generalized Poisson integrals2024-01-19Paper
Approximation of generalized Poisson integrals by interpolating trigonometric polynomials2024-01-11Paper
Estimates of approximations by interpolation trigonometric polynomials on the classes of convolutions of high smoothness2023-08-23Paper
Asymptotic estimates for the widths of classes of functions of high smothness2023-08-07Paper
https://portal.mardi4nfdi.de/entity/Q58708422023-01-24Paper
Approximation by Fourier sums in the classes of Weyl-Nagy differentiable functions with high exponent of smoothness2022-12-05Paper
Asymptotically best possible Lebesgue-type inequalities for the fourier sums on sets of generalized poisson integrals2022-06-14Paper
Direct and inverse theorems on the approximation of almost periodic functions in Besicovitch-Stepanets spaces2022-03-01Paper
Approximation by Fourier sums in classes of Weyl--Nagy differentiable functions with high exponent of smoothness2022-02-07Paper
About Lebesgue inequalities on the classes of generalized Poisson integrals2022-01-13Paper
Widths of functional classes defined by the majorants of generalized moduli of smoothness in the spaces \(\mathcal{S}^p\)2021-12-09Paper
Problems of approximation theory in abstract linear spaces2021-09-28Paper
Order estimates of the uniform approximations by Zygmund sums on the classes of convolutions of periodic functions2021-08-17Paper
Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness2021-02-09Paper
Approximation by Fourier sums in classes of differentiable functions with high exponents of smoothness2020-11-24Paper
Approximation by interpolation trigonometric polynomials in metrics of the space \(L_p\) on the classes of periodic entire functions2020-03-23Paper
Uniform approximations by Fourier sums on classes of convolutions of periodic functions2020-01-02Paper
Uniform approximations by Fourier sums in classes of generalized Poisson integrals2019-05-23Paper
An optimal subspaces for Kolmogorov widths of classes of 2π-periodic analytic functions2019-01-10Paper
Exact values of Kolmogorov widths for the classes of analytic functions. II2018-01-05Paper
Approximation of classes of convolutions of periodic functions by linear methods constructed on basis of Fourier-Lagrange coefficients2017-11-21Paper
https://portal.mardi4nfdi.de/entity/Q52716922017-07-11Paper
Estimates for approximations by Fourier sums, best approximations and best orthogonal trigonometric approximations of the classes of (\psi, \beta)-differentiable functions2017-06-13Paper
Asymptotic equalities for best approximations for classes of infinitely differentiable functions defined by the modulus of continuity2016-10-18Paper
Exact values of Kolmogorov widths for the classes of analytic functions. I2016-10-12Paper
Order estimates for the best approximations and approximations by Fourier sums of the classes of \((\psi, \beta)\)-differential functions2015-11-13Paper
Exact values of Kolmogorov widths of classes of analytic functions2014-10-11Paper
https://portal.mardi4nfdi.de/entity/Q28771972014-08-21Paper
Estimates of the uniform approximations by Zygmund sums on the classes of convolutions of periodic functions2014-08-21Paper
Approximation by linear methods of classes of $(\psi,\bar\beta)-$differentiable functions2014-08-21Paper
https://portal.mardi4nfdi.de/entity/Q28772002014-08-21Paper
Uniform approximation of periodical functions by trigonometric sums of special type2014-05-06Paper
Lebesgue-type inequalities for the de la Valée-Poussin sums on sets of analytic functions2014-03-27Paper
Lebesgue-type inequalities for the de la Vallée-Poussin sums on sets of entire functions2014-03-27Paper
Order estimates of the best approximations and approximations of Fourier sums of classes of convolutions of periodic functions of not high smoothness in uniform metric2014-03-20Paper
https://portal.mardi4nfdi.de/entity/Q53957472014-02-17Paper
Exact values of Kolmogorov widths of classes of Poisson integrals2014-01-08Paper
https://portal.mardi4nfdi.de/entity/Q28501852013-09-26Paper
Order estimations of the best approximations and approximations of the Fourier sums on the classes of infinitely differentiable functions2013-04-27Paper
Uniform approximation of Poisson integrals of functions from the class \(H_\omega\) by de la Vallée Poussin sums2013-04-05Paper
Lower bounds for Kolmogorov widths of classes of Poisson integrals2013-04-02Paper
Approximation by interpolation trigonometric polynomials on classes of periodic analytic functions2013-01-23Paper
Approximation of classes of analytic functions by de la Vallee Poussin sums in uniform metric2012-11-16Paper
Approximation of continuous periodic functions by de la Vallee Poussin sums2012-07-16Paper
https://portal.mardi4nfdi.de/entity/Q28966822012-07-16Paper
Approximation of classes of analytic functions by a linear method of special form2012-03-19Paper
Asymptotic behavior of best approximations of classes of Poisson integrals of functions from \(H_\omega\)2011-10-28Paper
Approximation of Poisson integrals by de la Valleé-Poussin sums in uniform and integral metrics2011-09-08Paper
https://portal.mardi4nfdi.de/entity/Q30136442011-07-18Paper
https://portal.mardi4nfdi.de/entity/Q30136452011-07-18Paper
On the best approximation of certain classes of periodic functions by trigonometric polynomials2011-06-21Paper
On relationship between classes of $(\Psi, \overline\upbeta)$ -differentiable functions and Gevrey classes2011-02-22Paper
Approximation of the classes C β ψ H ω by generalized Zygmund sums2011-02-22Paper
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 p2011-02-22Paper
https://portal.mardi4nfdi.de/entity/Q35526752010-04-22Paper
https://portal.mardi4nfdi.de/entity/Q35527792010-04-22Paper
https://portal.mardi4nfdi.de/entity/Q51918412009-08-08Paper
https://portal.mardi4nfdi.de/entity/Q51919102009-08-08Paper
https://portal.mardi4nfdi.de/entity/Q53248252009-08-08Paper
Classification of infinitely differentiable periodic functions2009-08-08Paper
On some new criteria for infinite differentiability of periodic functions2009-02-28Paper
Approximation of Poisson integrals by one linear approximation method in uniform and integral metrics2009-02-28Paper
https://portal.mardi4nfdi.de/entity/Q35052102008-06-18Paper
Approximation of Poisson Integrals by de la Vallée Poussin Sums2006-12-07Paper
https://portal.mardi4nfdi.de/entity/Q54873962006-09-19Paper
https://portal.mardi4nfdi.de/entity/Q54874432006-09-19Paper
Best Approximations and Widths of Classes of Convolutions of Periodic Functions of High Smoothness2006-07-20Paper
Approximation of Classes of Analytic Functions by Fourier Sums in Uniform Metric2006-07-20Paper
Approximation of classes of analytic functions by Fourier sums in the metric of the space L p2006-07-20Paper
Oleksandr Ivanovych Stepanets (On his 60th birthday)2005-11-14Paper
Approximation of infinitely differentiable periodic functions by interpolation trigonometric polynomials2005-09-28Paper
https://portal.mardi4nfdi.de/entity/Q44317332003-10-22Paper
https://portal.mardi4nfdi.de/entity/Q47919732003-02-06Paper
https://portal.mardi4nfdi.de/entity/Q47824672002-12-01Paper
https://portal.mardi4nfdi.de/entity/Q47824812002-12-01Paper
https://portal.mardi4nfdi.de/entity/Q47810792002-11-21Paper
https://portal.mardi4nfdi.de/entity/Q27398112001-09-16Paper
https://portal.mardi4nfdi.de/entity/Q27398122001-09-16Paper
https://portal.mardi4nfdi.de/entity/Q27401612001-09-16Paper
Approximation by fourier sums and best approximations on classes of analytic functions2001-09-16Paper
Lebesgue inequalities for poisson integrals2001-09-16Paper
https://portal.mardi4nfdi.de/entity/Q27404122001-09-16Paper
https://portal.mardi4nfdi.de/entity/Q27404332001-09-16Paper
https://portal.mardi4nfdi.de/entity/Q45186952000-12-01Paper
https://portal.mardi4nfdi.de/entity/Q45123142000-11-01Paper
https://portal.mardi4nfdi.de/entity/Q45123212000-11-01Paper
https://portal.mardi4nfdi.de/entity/Q44902922000-07-11Paper
On the existence of interpolating \(SK\)-splines2000-06-29Paper
On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials2000-03-02Paper
Estimates of the Kolmogorov widths for classes of infinitely differentiable periodic functions1999-11-22Paper
Lower bounds for widths of classes of convolutions of periodic functions in the metrics ofC andL1998-03-17Paper

Research outcomes over time

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