Cover Image

Approximation of Classes of Analytic Functions by Fourier Sums in Uniform Metric

We find asymptotic equalities for upper bounds of approximations by Fourier partial sums in a uniform metric on classes of Poisson integrals of periodic functions belonging to unit balls of spaces $L_p,\quad 1 \leq p \leq \infty$. We generalize the results obtained to classes of $(\psi, \overline{\b...

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/3666
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 the metric of the space $L_p$
by: Serdyuk, A. S., et al.
Published: (2005)

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

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

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)

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

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)

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

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

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 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)

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)

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

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

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

Approximation of functions of the classes Srp,θ in the uniform metric
by: Ya. Yanchenko
Published: (2013)

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 the classes MBΩ(ρ,θ) in a uniform metrics by the Vallée-Poussin sums
by: S. A. Stasjuk
Published: (2014)

Uniform convergence of the Fourier spherical sums differentiated by the function
by: Grona , V. L., et al.
Published: (1991)

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

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)

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

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

Fourier cosine and sine transforms and generalized Lipschitz classes in uniform metric
by: Golubov, B. I., et al.
Published: (2012)

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

Fourier cosine and sine transforms and generalized Lipschitz classes in the uniform metric
by: Volosivets, S.S., et al.
Published: (2012)

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)

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

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 of Classes of Analytic Functions by de la Vallée-Poussin Sums
by: Rukasov, V. I., et al.
Published: (2003)

Approximation of Functions from the Isotropic Nikol’skii–Besov Classes in the Uniform and Integral Metrics
by: Yanchenko, S. Ya., et al.
Published: (2015)

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)

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

Approximation of the Classes $B_{p,θ}^Ω$ of Periodic Functions of Many Variables in Uniform Metric
by: Stasyuk, S. A., et al.
Published: (2002)

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

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)

Best approximations of the classes $B_{p,\,\theta}^{r}$ of periodic functions of many variables in uniform metric
by: Romanyuk, A. S., et al.
Published: (2006)