Cover Image

Approximation of Convolution Classes by Fourier Sums. New Results

We present a survey of new results related to the investigation of the rate of convergence of Fourier sums on the classes of functions defined by convolutions whose kernels have monotone Fourier coefficients.

Saved in:

Bibliographic Details
Date:	2002
Main Authors:	Stepanets, O. I., Степанець, О. І.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2002
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4097
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

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

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

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

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

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)

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)

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)

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

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

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

Approximation of classes of convolutions by linear methods of summation of Fourier series
by: Bushev, D. M., et al.
Published: (1997)

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

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 Uniform Metric
by: Serdyuk, A. S., et al.
Published: (2005)

On approximation of convolution classes
by: Bushev, D. M., et al.
Published: (1993)

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)

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

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)

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 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 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)

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)

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 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)

Approximation by step-hyperbolic Fourier sums of classes MBщ(1,и)(ד)
by: S. A. Stasiuk
Published: (2014)

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

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

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

Rational approximation of classes of convolutions of periodic functions
by: S. O. Chaichenko
Published: (2013)

Approximation of the $\bar {\Psi}$ -integrals of functions defined on the real axis by Fourier operators
by: Sokolenko, I. V., et al.
Published: (2004)

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

Imbedding theorems for sets LψLM and approximation by Fourier sums
by: S. O. Chaichenko
Published: (2014)

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)

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

On approximation of classes W1∞ by Poisson sums
by: M. V. Hembarskyi, et al.
Published: (2017)

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

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

Approximation of classes of Poisson integrals by repeated Fejer sums
by: O. A. Novikov, et al.
Published: (2015)