Buchumschlag

Approximation of classes of analytic functions by a linear method of special form

On classes of convolutions of analytic functions in uniform and integral metrics, we find asymptotic equations for the least upper bounds of deviations of trigonometric polynomials generated by certain linear approximation method of a special form.

Gespeichert in:

Bibliographische Detailangaben
Datum:	2011
Hauptverfasser:	Serdyuk, A. S., Chaichenko, S. O., Сердюк, А. С., Чайченко, С. О.
Format:	Artikel
Sprache:	Ukrainisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2011
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/2701
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Ähnliche Einträge

Approximation of Classes of Analytic Functions by Fourier Sums in Uniform Metric
von: Serdyuk, A. S., et al.
Veröffentlicht: (2005)

Approximation by interpolation trigonometric polynomials on classes of periodic analytic functions
von: Serdyuk, A. S., et al.
Veröffentlicht: (2012)

Approximation by fourier sums and best approximations on classes of analytic functions
von: Serdyuk, A. S., et al.
Veröffentlicht: (2000)

Approximation of classes of analytic functions by Fourier sums in the metric of the space $L_p$
von: Serdyuk, A. S., et al.
Veröffentlicht: (2005)

Linear approximation methods and the best approximations of the Poisson integrals of functions from the classes $H_{ω_p}$ in the metrics of the spaces $L_p$
von: Serdyuk, A. S., et al.
Veröffentlicht: (2010)

Widths and best approximations for classes of convolutions of periodic functions
von: Serdyuk, A. S., et al.
Veröffentlicht: (1999)

Approximation of Analytic Periodic Functions by de la Vallée-Poussin Sums
von: Rukasov, V. I., et al.
Veröffentlicht: (2002)

Approximation of Poisson integrals by one linear approximation method in uniform and integral metrics
von: Serdyuk, A. S., et al.
Veröffentlicht: (2008)

On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials
von: Serdyuk, A. S., et al.
Veröffentlicht: (1995)

Best approximations of periodic functions in generalized lebesgue spaces
von: Chaichenko, S. O., et al.
Veröffentlicht: (2012)

Approximation of the Bergman kernels by rational functions with fixed poles
von: Chaichenko, S. O., et al.
Veröffentlicht: (2017)

Rational approximation of classes of convolutions of periodic functions
von: S. O. Chaichenko
Veröffentlicht: (2013)

Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials in the Metric of the Space $L$
von: Serdyuk, A. S., et al.
Veröffentlicht: (2002)

Best Approximations and Widths of Classes of Convolutions of Periodic Functions of High Smoothness
von: Serdyuk, A. S., et al.
Veröffentlicht: (2005)

Approximation of functions by linear summation methods in the Orlicz type spaces
von: S. Chaichenko, et al.
Veröffentlicht: (2020)

Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials
von: Serdyuk, A. S., et al.
Veröffentlicht: (2000)

Approximation by de la Vallée-Poussin operators on the classes of functions locally summable on the real axis
von: Rukasov, V. I., et al.
Veröffentlicht: (2010)

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)

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: Langarshoev, M. R., et al.
Veröffentlicht: (2015)

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

On the Best Linear Approximation Method for Hölder Classes
von: Skorokhodov, D. S., et al.
Veröffentlicht: (2015)

Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. I
von: Bodenchuk, V. V., et al.
Veröffentlicht: (2015)

Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. II
von: Bodenchuk, V. V., et al.
Veröffentlicht: (2015)

Approximation of the classes $S^r_{p,θ}B(\mathbb{R}^d)$ of functions of many variables by entire functions of a special form
von: Yanchenko, S. Ya., et al.
Veröffentlicht: (2010)

Best linear methods for the approximation of functions of the Bergman class by algebraic polynomials
von: Savchuk, V. V., et al.
Veröffentlicht: (2006)

Best Linear Methods of Approximation of Functions of the Hardy Class $H_p$
von: Savchuk, V. V., et al.
Veröffentlicht: (2003)

On the radii of convexity and starlikeness for some special classes of analytic functions in a disk
von: Kotsur, I. M., et al.
Veröffentlicht: (1996)

Approximation of classes of analytic functions by algebraic polynomials and kolmogorov widths
von: Romanyuk, V. S., et al.
Veröffentlicht: (1996)

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

Estimations of the Best Approximations for the Classes of Infinitely Differentiable Functions in Uniform and Integral Metrics
von: Serdyuk, A. S., et al.
Veröffentlicht: (2014)

Approximation of Classes $B_{p,θ}^r$ by Linear Methods and Best Approximations
von: Romanyuk, A. S., et al.
Veröffentlicht: (2002)

Approximations by Fourier Sums on the Sets $L^{ψ} L^{P(∙)}$
von: Chaichenko, S. O., et al.
Veröffentlicht: (2014)

Linear methods for approximation of some classes of holomorphic functions from the Bergman space
von: Savchuk, V. V., et al.
Veröffentlicht: (2008)

$K$-functionals and extreme problems of the theory of approximation of the classes of analytic functions in a circle. II
von: Vakarchuk, S. B., et al.
Veröffentlicht: (2022)

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
von: Serdyuk, A. S., et al.
Veröffentlicht: (2014)

Approximation of functions regular in convex polyhedrons by exponential polynomials of a special form
von: Melnik , Yu. I., et al.
Veröffentlicht: (1992)

Approximation of the Classes $C^{{\bar \psi }} H_{\omega }$ by de la Vallée-Poussin Sums
von: Rukasov, V. I., et al.
Veröffentlicht: (2002)

Reconstruction of linear functionals on classes of analytic functions of two variables on the basis of generalized information
von: Vakarchuk, S. B., et al.
Veröffentlicht: (1993)

Best approximation by trigonometric polynomials of convolution classes generated by some linear combinations of periodic kernels
von: Serdyuk, A., et al.
Veröffentlicht: (2026)

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