Cover Image

Approximation of classes of analytic functions by Fourier sums in the metric of the space $L_p$

Asymptotic equalities are established for upper bounds of approximants by Fourier partial sums in a metric of spaces $L_p,\quad 1 \leq p \leq \infty$ on classes of the Poisson integrals of periodic functions belonging to the unit ball of the space $L_1$. The results obtained are generalized to the c...

Full description

Saved in:

Bibliographic Details
Date:	2005
Main Authors:	Serdyuk, A. S., Сердюк, А. С.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2005
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3693
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 of Classes of Analytic Functions by Fourier Sums in Uniform Metric
by: Serdyuk, A. S., et al.
Published: (2005)

Approximation of the classes of generalized Poisson integrals by Fourier sums in metrics of the spaces $L_s$
by: Serdyuk, A. S., et al.
Published: (2017)

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

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)

Compatible Approximation of Classes of Kinks with Kernels Poisson Sums of Fourier in Metric Space Lp
by: V. A. Sorych, et al.
Published: (2017)

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 $L_p$
by: Serdyuk, A. S., et al.
Published: (2010)

Approximation of the classes of generalized Poisson integrals by Fourier sums in metrics of the spaces L_s
by: A. S. Serdiuk, et al.
Published: (2017)

Approximation of the classes $B^{\Omega}_{p, \theta}$ of periodic functions of many variables by Fourier sums in the space $L_p$ with $p = 1, \infty$
by: Myronyuk, V. V., et al.
Published: (2012)

Approximations by Fourier Sums on the Sets Lψ Lp(∙)
by: S. O. Chajchenko
Published: (2014)

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
by: Serdyuk, A. S., et al.
Published: (2014)

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

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

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

Best approximation by ridge functions in $L_p$-spaces
by: Maiorov, V. E., et al.
Published: (2010)

Approximation of the Classes $H_p^{Ω}$ of Periodic Functions of Many Variables in the Space $L_p$
by: Derev’yanko, N. V., et al.
Published: (2014)

On the approximation by Chebyshev splines in the metric of $L_p, p > 0$
by: Kryakin, Yu. V., et al.
Published: (1998)

Estimates for the best approximations and approximation by Fourier sums of classes of convolutions of periodic functions of not high smoothness in integral metrics
by: T. A. Stepaniuk
Published: (2014)

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

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)

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

Approximations sums convolution kernels with Fourier Poisson sum in ravnomernoy Metrics
by: V. A. Sorych, et al.
Published: (2013)

Uniform approximations by Fourier sums on the sets of convolutions of periodic functions of high smoothness
by: Serdyuk, A., et al.
Published: (2023)

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
by: A. S. Serdiuk, et al.
Published: (2014)

Estimation of the best approximation of periodic functions of two variables by an “angle” in the metric of $L_p$
by: Konopovich, T. O., et al.
Published: (2004)

The Joint Approximation (ψ, β) — integrals by Fejer’S sums in the metric Lp
by: Sorych, Viktor, et al.
Published: (2019)

The Joint Approximation integrals by Fejer&#039;S sums in the metric Lp
by: V. A. Sorych, et al.
Published: (2019)

Approximation of compressions of periodic functions in the space $L_p,\; p < 1$
by: Pichugov, S. A., et al.
Published: (1995)

On the approximation of functions from Weyl-Nagy classes by Zygmund sums in the $L_q$ metric
by: Kostich, M. V., et al.
Published: (1999)

On the Approximation by Modified Interpolation Polynomials in Spaces $L_p$
by: Metelichenko, A.B., et al.
Published: (2004)

Approximation of sine-shaped functions by constants in the spaces $L_p,\; p < 1$
by: Babenko, V. F., et al.
Published: (2004)

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

Approximation of the classes of convolutions of periodic functions by Zygmund sums in integral metrics
by: U. Z. Hrabova
Published: (2014)

Approximation of Convolution Classes by Fourier Sums. New Results
by: Stepanets, O. I., et al.
Published: (2002)

Asymptotic behavior of the best approximations for the functions in $L_p$
by: Pichugov, S. A., et al.
Published: (1993)

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

Characterization of the Points of $ϕ$-Strong Summability of Fourier–Laplace Series for Functions of the Class $L_p(S^m),\; p > 1$
by: Lasuriya, R. A., et al.
Published: (2003)

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

Approximation of Poisson integrals by de la Valleé-Poussin sums in uniform and integral metrics
by: Serdyuk, A. S., et al.
Published: (2010)

Approximation of periodic functions by constants in the metric spaces $ϕp(L)$
by: Pichugov, S. A., et al.
Published: (1994)

Approximation in the mean of the classes of functions in the space L2|(0,1);x| by the Fourier–Bessel sums and estimates of the values of their n-widths
by: S. Vakarchuk, et al.
Published: (2024)