Buchumschlag

Approximation of classes $(\psi,\bar\beta)$-differentiable functions by interpolating trigonometric polynomials

We calculate the least upper bounds of pointwise approximations by interpolating trigonometric polynomials with equidistant nodes of interpolation for classes convolutions of $2\pi$-periodic functions, which belong to the unit ball of the space $L_2$, with an arbitrary square summable kernel.

Gespeichert in:

Bibliographische Detailangaben
Datum:	2016
Автори та афіліації:	А. С. Сердюк — Інститут математики НАН України І. В. Соколенко — Інститут математики НАН України
Ключові слова:	keywords
Hauptverfasser:	Serdyuk, A. S., Sokolenko, I. V., Сердюк, А. С., Соколенко, І. В.
Format:	Artikel
Sprache:	Ukrainisch
Veröffentlicht:	Інститут математики НАН України 2016
Online Zugang:	https://trim.imath.kiev.ua/index.php/trim/article/view/219
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Transactions of Institute of Mathematics of NAS of Ukraine
Завантажити файл:

Institution

Transactions of Institute of Mathematics of NAS of Ukraine

Ähnliche Einträge

Approximation by linear methods of classes of $(\psi,\bar\beta)-$differentiable functions.
von: Serdyuk, A. S., et al.
Veröffentlicht: (2013)

Approximation of classes of $(\psi,\beta)$-differentiable functions by Rogozinski polynomials
von: Kovalchuk, I. R., et al.
Veröffentlicht: (2017)

Approximation of classes (Ψ, β)-differentiable functions by interpolating trigonometric polynomials
von: A. S. Serdiuk, et al.
Veröffentlicht: (2016)

Lebesgue type inequalities for the de la Vallée Poussin sums and their interpolation analogues on classes of $(\psi,\bar{\beta})$-differentiable functions
von: Voĭtovych, V. A., et al.
Veröffentlicht: (2013)

Best orthogonal trigonometric approximations of functions from classes $L_{\beta,1}^\psi$
von: Shkapa, V. V., et al.
Veröffentlicht: (2014)

Approximation by interpolation trigonometric polynomials in metrics of the spaces Lp on the classes of periodic entire functions
von: A. S. Serdiuk, et al.
Veröffentlicht: (2019)

On Lebesgue continuity on classes of $\bar{\psi}$-differentiable functions.
von: Gayevs’kyĭ, M. V., et al.
Veröffentlicht: (2014)

On Lebesgue continuity on classes of $\bar{\psi}$-differentiable functions
von: Gayevs’kyĭ, M. V., et al.
Veröffentlicht: (2013)

Greedy algorithms of classes $(\psi,\beta)$-differentiable periodic functions
von: Shkapa, V. V., et al.
Veröffentlicht: (2015)

Approximation of generalized Poisson integrals by interpolating trigonometric polynomials
von: A. Serdiuk, et al.
Veröffentlicht: (2023)

Approximation of classes $\overline{\psi}$-differentiated functions by the Fourier sums
von: Bodra, V. I., et al.
Veröffentlicht: (2015)

Estimates for the best $M$-term trigonometric approximations of classes $L_{\beta,p}^\psi$ of periodic multivariable functions in the case of small smoothness in the space $L_q$
von: Pozharska, K. V., et al.
Veröffentlicht: (2017)

Estimates of the best orthogonal trigonometric approximations of the generalized multidimensional analogues of the Bernoulli kernels and classes $L^\psi_{\beta,1}$ in the space $L_q$
von: Shvai, K. V., et al.
Veröffentlicht: (2016)

Approximation of some classes of set-valued periodic functions by generalized trigonometric polynomials
von: V. V. Babenko, et al.
Veröffentlicht: (2016)

Kolmogorov widths of the classes $L_{\beta, p}^\psi$ of periodic functions in the space $L_q$
von: Vlasyk, H. M., et al.
Veröffentlicht: (2017)

Estimates of orthoprojective widths of the classes $L_{\beta, p}^\psi$ of periodic functions in the space Lq
von: Vlasyk, G. M., et al.
Veröffentlicht: (2015)

Orthoprotection widths of classes $L_{\beta, p}^\psi$ of periodic functions in the space $L_q$
von: Vlasyk, H. M., et al.
Veröffentlicht: (2015)

Best trigonometric and bilinear approximations for the classes of (ψ, β) -differentiable periodic functions
von: V. V. Shkapa
Veröffentlicht: (2016)

An approximation of class of convolutions of periodic functions by linear methods based on their Fourier-Lagrange coefficients
von: Serdyuk, A. S., et al.
Veröffentlicht: (2017)

Approximation of classes of (ψ,β)-differentiable functions by Rogozinski polynomials
von: I. R. Kovalchuk
Veröffentlicht: (2017)

Order estimates for the best approximation and approximation by Fourier sums of classes of infinitely differentiable functions
von: Serdyuk, A. S., et al.
Veröffentlicht: (2013)

Approximation by linear methods of classes of (ш,в)−differentiable functions
von: A. S. Serdiuk, et al.
Veröffentlicht: (2013)

Solution of the Kolmogorov-Nikol’skii problem for three-harmonic Poisson integrals on classes $C^{\psi}_{\beta,\infty}$
von: Grabova, U. Z., et al.
Veröffentlicht: (2014)

Estimates of the best m-term trigonometric approximations of classes of analytic functions
von: A. S. Serdiuk, et al.
Veröffentlicht: (2015)

Best one-sided approximation on the average for the classes of differentiable functions by algebraic polynomials
von: V. V. Siedunova
Veröffentlicht: (2017)

Nonlinear approximation of the classes $F_{q,r}^{\psi}$ of functions of several variables in the integral metrics
von: Shidlich, A. L., et al.
Veröffentlicht: (2017)

Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness
von: A. S. Serdyuk, et al.
Veröffentlicht: (2020)

Hermite interpolation polynomial for many-variable functions
von: O. F. Kashpur
Veröffentlicht: (2022)

Chebyshev approximation by the sum of polynomial and logarithmic expression with the Hermitian interpolation
von: P. S. Malachivskyi, et al.
Veröffentlicht: (2018)

Approximation by Fourier sums in classes of Weyl–Nagy differentiable functions with high exponent of smoothness
von: A. S. Serdiuk, et al.
Veröffentlicht: (2022)

Chebyshev approximation of multivariable functions with the interpolation
von: P. Malachivskyy, et al.
Veröffentlicht: (2022)

Trigonometric Approximations and Kolmogorov Widths of Anisotropic Besov Classes of Periodic Functions of Several Variables
von: V. V. Myroniuk
Veröffentlicht: (2014)

Best orthogonal trigonometric approximations of functions from classes Lш(в,1)
von: V. V. Shkapa
Veröffentlicht: (2014)

Estimates of the best orthogonal trigonometric approximations of the classes of convolutions of periodic functions of not high smoothness
von: A. S. Serdiuk, et al.
Veröffentlicht: (2015)

Local Extremums of Trigonometric Polynomial
von: Belov, I.S.
Veröffentlicht: (2007)

Gaar’s conditions and trigonometric polynomials
von: Voloshin, G. A., et al.
Veröffentlicht: (2017)

Approximation for absolutely continuous functions by Stancu Beta operators
von: Xiao-Ming Zeng
Veröffentlicht: (2011)

Order Estimates for the Best Orthogonal Trigonometric Approximations of the Classes of Convolutions of Periodic Functions of Low Smoothness
von: A. S. Serdiuk, et al.
Veröffentlicht: (2015)

Dzyadyk's Technique for Ordinary Differential Equations Using Hermitian Interpolating Polynomials
von: Rizk, M.M.
Veröffentlicht: (2001)

Trigonometric and linear widths for the classes of periodic multivariable functions
von: A. S. Romanjuk
Veröffentlicht: (2017)