Cover Image

Uniform convergence of the Fourier spherical sums differentiated by the function

Asymptotic equalities are found for exact upper bounds of the deviations in the uniform metric of the spherical sums of a multiple trigonometric Fourier series on classes of functions with a mean-bounded Liouville derivative.

Saved in:

Bibliographic Details
Date:	1991
Main Authors:	Grona , V. L., Грона , В. Л.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 1991
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/9304
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

On the norms of the means of spherical Fourier sums
by: Kuznetsova, O.I.
Published: (2015)

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

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

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

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

On the uniform convergence of Fourier series to (ш, в)-derivatives
by: E. I. Radzievskaja
Published: (2018)

Uniform approximations by Fourier sums on the classes of convolutions with generalized Poisson kernels
by: A. S. Serdiuk, et al.
Published: (2016)

Multiple Fourier Sums on Sets of $\bar \psi$ -Differentiable Functions (Low Smoothness)
by: Lasuriya, R. A., et al.
Published: (2003)

On Fourier multipliers and absolute convergence of Fourier integrals of radial functions
by: Trigub, R. M., et al.
Published: (2010)

Estimate for deviation of functions from their Fourier sums
by: R. V. Tovkach
Published: (2017)

Fourier transform of the summing Abel–Poisson function
by: T. V. Zhyhallo, et al.
Published: (2022)

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

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

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)

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)

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)

Asymptotic estimates of approximation of continuous periodic functions by the Fourier sums
by: Gavrilyuk, V. T., et al.
Published: (1990)

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)

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 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)

Multiple Fourier sums and ψ-strong means of their deviations on the classes of ψ-differentiable functions of many variables
by: Lasuriya, R. A., et al.
Published: (2007)

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

Localization of the Bochner-Riesz means in the Nikol'skii classes
by: Grona, V. L., et al.
Published: (1993)

On necessary conditions for the convergence of Fourier series
by: Ivashchuk, O. V., et al.
Published: (2011)

On the mean convergence of Fourier–Jacobi series
by: Goncharov, S. V., et al.
Published: (2010)

Convergence of the linear's average multiple Fourier series of continuous functions
by: Zaderei , P. V., et al.
Published: (1988)

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

The Fourier sums: new results and unsolved problems
by: Stepanets, A. I., et al.
Published: (1988)

Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation
by: Goginava, U., et al.
Published: (2015)

Convergence of Fourier series on the systems of rational functions on the real axis
by: S. O. Chaichenko
Published: (2015)

Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation
by: U. Goginava, et al.
Published: (2015)

Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation
by: Goginava, U., et al.
Published: (2015)

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

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)

Convergence of Fourier series of functions Lip 1 with respect to general orthonormal systems
by: L. Gogoladze, et al.
Published: (2017)

On the Convergence of Fourier Series in the Space $L_1$
by: Zaderei, P. V., et al.
Published: (2002)

Convergence of Fourier series of functions $\text{Lip} 1$ with respect to general orthonormal systems
by: Gogoladze, L., et al.
Published: (2017)

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

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