Cover Image

Approximation of Poisson integrals by one linear approximation method in uniform and integral metrics

We obtain asymptotic equalities for the least upper bounds of approximations of classes of Poisson integrals of periodic functions by a linear approximation method of special form in the metrics of the spaces C and Lp .

Saved in:

Bibliographic Details
Date:	2008
Main Authors:	Serdyuk, A. S., Сердюк, А. С.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2008
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3213
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 Poisson integrals by de la Valleé-Poussin sums in uniform and integral metrics
by: Serdyuk, A. S., et al.
Published: (2010)

Approximation of (ψ, β)-differentiable functions by Poisson integrals in the uniform metric
by: Zhyhallo, T. V., et al.
Published: (2009)

Approximation of Poisson integrals by linear methods
by: O. A. Novikov, 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: Serdyuk, A. S., et al.
Published: (2017)

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 the threeharmonic Poisson integrals on the Sobolev classes
by: U. Z. Grabova
Published: (2019)

Approximation of Poisson Integrals by de la Vallée Poussin Sums
by: Serdyuk, A. S., et al.
Published: (2004)

Approximation of classes Cψβ,∞ by three-harmonic Poisson integrals in uniform metric (low smoothness)
by: U. Z. Hrabova, et al.
Published: (2022)

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

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

Uniform approximations of functions of Lipschitz class by threeharmonic Poisson integrals
by: U. Z. Grabova
Published: (2017)

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

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)

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 of 2π-periodic functions by Taylor—Abel—Poisson operators in the integral metric
by: J. Prestin, et al.
Published: (2017)

Approximation of 2π-periodic functions by Taylor—Abel—Poisson operators in the integral metric
by: Prestin, J., et al.
Published: (2017)

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

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

Approximative properties of biharmonic Poisson integrals on Hölder classes
by: Hembars'ka, S. B., et al.
Published: (2017)

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

On the Approximation of Functions of the Hölder Class by Triharmonic Poisson Integrals
by: Zhyhallo, K. M., et al.
Published: (2001)

Approximation of Differentiable Periodic Functions by Their Biharmonic Poisson Integrals
by: Zhyhallo, K. M., et al.
Published: (2002)

On the Approximation of Functions of the Hölder Class by Biharmonic Poisson Integrals
by: Zhyhallo, K. M., et al.
Published: (2000)

Approximation of conjugate differentiable functions by biharmonic Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2009)

Approximation of conjugate differentiable functions by their Abel–Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2009)

Approximation of the Infinitely-Differentiable Functions in an Integral Metric
by: I. B. Kovalska
Published: (2018)

Approximative properties of biharmonic Poisson integrals on Hölder classes
by: S. B. Hembarska, et al.
Published: (2017)

On approximation of the quasi-smooth functions by their Poisson-type integrals
by: Ju. I. Kharkevich
Published: (2017)

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

Approximation of Functions from the Isotropic Nikol&#039;skii–Besov Classes in the Uniform and Integral Metrics
by: Ya. Yanchenko
Published: (2015)

On approximation of functions from Zygmund classes by biharmonic Poisson integrals
by: B. N. Borsuk, et al.
Published: (2021)

Approximation of functions from the class $\hat{C}^{\psi}_{\beta, \infty}$ by Poisson biharmonic operators in the uniform metric
by: Zhyhallo, T. V., et al.
Published: (2008)

Best Approximation in the Integral Metric of a Linear Combination of Periodic Functions of Different Parity
by: Сорич, Віктор, et al.
Published: (2024)

Approximation of conjugate periodic functions by their three-harmonic Poisson integrals
by: U. Z. Grabova
Published: (2020)

Approximative properties of the three-harmonic Poisson integrals on the classes W
by: U. Z. Hrabova, et al.
Published: (2020)

Approximative properties of biharmonic Poisson integrals in the classes Wrβ
by: I. V. Kalchuk, et al.
Published: (2016)

On rational functions of the best nonsymmetric approximations in integral metrics
by: Polyakov, O. V., et al.
Published: (2012)

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