Cover Image

Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials

We obtain asymptotic equalities for the upper bounds of approximations by interpolation trigonometric polynomials on classes of convolutions of periodic functions admitting a regular extension to a fixed strip of the complex plane.

Saved in:

Bibliographic Details
Date:	2000
Main Authors:	Serdyuk, A. S., Stepanets, O. I., Сердюк, А. С., Степанец, А. И.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2000
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4572
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

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

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

Approximation of infinitely differentiable periodic functions by interpolation trigonometric polynomials
by: Serdyuk, A. S., et al.
Published: (2004)

Approximation of Infinitely Differentiable Periodic Functions by Interpolation Trigonometric Polynomials in Integral Metric
by: Serdyuk, A. S., et al.
Published: (2001)

Approximation of Periodic Functions of High Smoothness by Interpolation Trigonometric Polynomials in the Metric of $L_1$
by: Serdyuk, A. S., et al.
Published: (2000)

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

Approximation by interpolation trigonometric polynomials in metrics of the spaces $L_p$ on the classes of periodic entire functions
by: Serdyuk, A. S., et al.
Published: (2019)

Approximation of generalized Poisson integrals by interpolating trigonometric polynomials
by: Serdyuk, A., et al.
Published: (2023)

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

On the existence of interpolating $SK$-splines
by: Serdyuk, A. S., et al.
Published: (1994)

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

Inverse theorems on approximation of periodic functions
by: Stepanets, O. I., et al.
Published: (1995)

Direct and Inverse Theorems in the Theory of Approximation of Functions in the Space $S^p$
by: Serdyuk, A. S., et al.
Published: (2002)

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

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

Lower bounds for widths of classes of convolutions of periodic functions in the metrics of $C$ and $L$
by: Serdyuk, A. S., et al.
Published: (1995)

Approximation of periodic functions by interpolation polynomials in $L_1$
by: Motorny, V. P., et al.
Published: (1990)

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

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

Approximation of $\bar {\psi} - \text{Integrals}$ of periodic functions by Fourier sums (small smoothness). IIof periodic functions by Fourier sums (small smoothness). II
by: Stepanets, O. I., et al.
Published: (1998)

Approximation of $\bar {\psi} - integrals$−integrals of periodic functions by Fourier sums (small smoothness). Iof periodic functions by Fourier sums (small smoothness). I
by: Stepanets, O. I., et al.
Published: (1998)

Classification of infinitely differentiable periodic functions
by: Serdyuk, A. S., et al.
Published: (2008)

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

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

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

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

Approximation by entire functions in the mean on the real axis
by: Stepanets , A. I., et al.
Published: (1991)

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

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

Certain remarks on approximation of the hing smoothness functions by the Fourier operators
by: Stepanets , A. I., et al.
Published: (1992)

Approximation by the Fourier operators of the functions preset on a real axis
by: Stepanets , A. I., et al.
Published: (1988)

Approximation of classes of analytic functions by a linear method of special form
by: Serdyuk, A. S., et al.
Published: (2011)

Approximate properties of the Zygmund method
by: Stepanets, O. I., et al.
Published: (1999)

Lebesgue inequalities for poisson integrals
by: Serdyuk, A. S., et al.
Published: (2000)

Approximation of analytical functions by polynomials «approaching» polynomials of the best approximation
by: Maimeskul , V. V., et al.
Published: (1992)

Best $n$-Term Approximations with Restrictions
by: Stepanets, O. I., et al.
Published: (2005)

Approximation Characteristics of Spaces $S_\phi ^p$
by: Stepanets, O. I., et al.
Published: (2001)

Lower bounds for the deviations of the best linear methods of approximation of continuous functions by trigonometric polynomials
by: Pichugov, S. A., et al.
Published: (2012)

Approximation of classes of functions of many variables by their orthogonal projections onto subspaces of trigonometric polynomials
by: Romanyuk, A. S., et al.
Published: (1996)

Extremal Problems of Approximation Theory in Linear Spaces
by: Stepanets, O. I., et al.
Published: (2003)