Buchumschlag

Approximation by linear methods of classes of $(\psi,\bar\beta)-$differentiable functions.

We calculate the least upper bounds for approximations in the metric of the space $L_2$ by linear methods of summation of Fourier series on classes of periodic functions $L^\psi_{\bar\beta,1}$ defined by sequences of multipliers $\psi=\psi(k)$ and shifts of argument $\bar\beta=\beta_k$

Gespeichert in:

Bibliographische Detailangaben
Datum:	2013
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 2013
Online Zugang:	https://trim.imath.kiev.ua/index.php/trim/article/view/183
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 of classes $(\psi,\bar\beta)$-differentiable functions by interpolating trigonometric polynomials
von: Serdyuk, A. S., et al.
Veröffentlicht: (2016)

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

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

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

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

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)

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)

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

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

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

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)

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)

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

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)

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)

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

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)

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

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

Estimates of uniform approximations by Zygmund sums on classes of convolutions of periodic functions
von: Serdyuk, A. S., et al.
Veröffentlicht: (2013)

Order estimates of functionals in terms of which the best $n$-term approximations of classes ${\cal F}_{q,r}^{\psi}$ are expressed.
von: Shidlich, A. L., et al.
Veröffentlicht: (2014)

Approximation of Functions on the Sphere by Linear Methods
von: R. A. Lasurija
Veröffentlicht: (2014)

Approximation of classes of ψ-differentiated functions by the Fourier sums
von: V. I. Bodra, et al.
Veröffentlicht: (2015)

The convergence rate of the group $\ varphi $ -deviations in the class of analytic functions $ H ^ \ psi_ \ infty $
von: Veremij, M. A., et al.
Veröffentlicht: (2017)

On the best approximation of the HЁolder classes by linear methods
von: D. S. Skorokhodov
Veröffentlicht: (2014)

On the Best Linear Approximation Method for Hцlder Classes
von: D. S. Skorokhodov
Veröffentlicht: (2015)

Approximation by step-hyperbolic Fourier sums of classes $\mathbf{MB}^{\omega}_{1,\theta}(\bar{\gamma})$
von: Stasyuk, S. A., et al.
Veröffentlicht: (2014)

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

Asymmetric fractal approximation of functions in the space $L_p^{\alpha ,\beta }(I)$
von: Nazarenko, M. O., et al.
Veröffentlicht: (2015)

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

Order Estimates for the Best Approximations and Approximations by Fourier Sums of the Classes of (ψ, β)-Differential Functions
von: U. Z. Hrabova, et al.
Veröffentlicht: (2013)

On the Best Linear Methods of Approximation and the Exact Values of Widths for Some Classes of Analytic Functions in the Weighted Bergman Space
von: M. R. Langarshoev
Veröffentlicht: (2015)

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)

Method of rigidity functions in problems of calculation of multilayered bars at temperature loadings
von: G. L. Gorynin, et al.
Veröffentlicht: (2012)

Imbedding theorems for sets $L^{\psi}L_{M}$ and approximation by Fourier sums
von: Chaichenko, S. O., et al.
Veröffentlicht: (2014)

One method for the investigation of linear functional-differential equations
von: V. B. Cherepennikov, et al.
Veröffentlicht: (2013)