Approximation of (ψ, β)-differentiable functions by Poisson integrals in the uniform metric
We obtain asymptotic equalities for upper bounds of approximations of functions from the class $C_{β,∞} ψ$ by Poisson integrals in the metric of the space $C$.
Saved in:
| Date: | 2009 |
|---|---|
| Main Authors: | Zhyhallo, T. V., Kharkevych, Yu. I., Жигалло, Т. В., Харкевич, Ю. І. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2009
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3117 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Approximation of (ψ, β)-differentiable functions of
low smoothness by biharmonic Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2011)
by: Zhyhallo, K. M., et al.
Published: (2011)
Approximation of (ψ, β)-differentiable functions by Weierstrass integrals
by: Kalchuk, I. V., et al.
Published: (2007)
by: Kalchuk, I. V., et al.
Published: (2007)
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)
by: Zhyhallo, T. V., et al.
Published: (2008)
Approximation of conjugate differentiable functions by biharmonic Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2009)
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)
by: Zhyhallo, K. M., et al.
Published: (2009)
Approximation of Differentiable Periodic Functions by Their Biharmonic Poisson Integrals
by: Zhyhallo, K. M., et al.
Published: (2002)
by: Zhyhallo, K. M., et al.
Published: (2002)
On the Approximation of Functions of the Hölder Class by Triharmonic Poisson Integrals
by: Zhyhallo, K. M., et al.
Published: (2001)
by: Zhyhallo, K. M., et al.
Published: (2001)
On the Approximation of Functions of the Hölder Class by Biharmonic Poisson Integrals
by: Zhyhallo, K. M., et al.
Published: (2000)
by: Zhyhallo, K. M., et al.
Published: (2000)
Approximation of $(\psi, \beta)$-Differentiable Functions Defined on the Real Axis by Abel-Poisson Operators
by: Zhyhallo, T. V., et al.
Published: (2005)
by: Zhyhallo, T. V., et al.
Published: (2005)
Approximation of functions from the classes $C^{\psi}_{\beta, \infty}$ by biharmonic Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2011)
by: Zhyhallo, K. M., et al.
Published: (2011)
Approximation of Poisson integrals by one linear approximation method in uniform and integral metrics
by: Serdyuk, A. S., et al.
Published: (2008)
by: Serdyuk, A. S., et al.
Published: (2008)
Complete Asymptotics of the Deviation of a Class of Differentiable Functions from the Set of Their Harmonic Poisson Integrals
by: Zhyhallo, K. M., et al.
Published: (2002)
by: Zhyhallo, K. M., et al.
Published: (2002)
The Joint Approximation (ψ, β) — integrals by Fejer’S sums in the metric Lp
by: Sorych, Viktor, et al.
Published: (2019)
by: Sorych, Viktor, et al.
Published: (2019)
Estimates of the best M-term and orthogonal trigonometric approximations of functions of classes LΨ(β,ρ) in the uniform metrics
by: V. V. Shkapa
Published: (2014)
by: V. V. Shkapa
Published: (2014)
Approximative properties of biharmonic Poisson integrals in the classes Wrβ
by: I. V. Kalchuk, et al.
Published: (2016)
by: I. V. Kalchuk, et al.
Published: (2016)
Approximation of Poisson integrals by de la Valleé-Poussin sums in uniform and integral metrics
by: Serdyuk, A. S., et al.
Published: (2010)
by: Serdyuk, A. S., et al.
Published: (2010)
Approximation of classes of (ψ,β)-differentiable functions by Rogozinski polynomials
by: I. R. Kovalchuk
Published: (2017)
by: I. R. Kovalchuk
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)
by: Serdyuk, A. S., et al.
Published: (2014)
Asymptotics of the values of approximations in the mean for classes of differentiable functions by using biharmonic Poisson integrals
by: Kalchuk, I. V., et al.
Published: (2007)
by: Kalchuk, I. V., et al.
Published: (2007)
Approximation of the classes W r_β,∞ by generalized Abel–Poisson integrals
by: I. V. Kalchuk, et al.
Published: (2022)
by: I. V. Kalchuk, et al.
Published: (2022)
Approximating properties of biharmonic Poisson operators in the classes $\hat{L}^{\psi}_{\beta, 1}$
by: Zhyhallo, T. V., et al.
Published: (2017)
by: Zhyhallo, T. V., 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)
by: A. S. Serdiuk, et al.
Published: (2014)
Uniform approximations of functions of Lipschitz class by threeharmonic Poisson integrals
by: U. Z. Grabova
Published: (2017)
by: U. Z. Grabova
Published: (2017)
Approximation of classes (Ψ, β)-differentiable functions by interpolating trigonometric polynomials
by: A. S. Serdiuk, et al.
Published: (2016)
by: A. S. Serdiuk, et al.
Published: (2016)
Approximation of classes Cψβ,∞ by three-harmonic Poisson integrals in uniform metric (low smoothness)
by: U. Z. Hrabova, et al.
Published: (2022)
by: U. Z. Hrabova, et al.
Published: (2022)
On the approximation of functions from the Hölder class given
on a segment by their biharmonic Poisson operators
by: Zhyhallo, K. M., et al.
Published: (2019)
by: Zhyhallo, K. M., et al.
Published: (2019)
Approximation of functions defined on the real axis by operators generated by λ-methods of summation of their Fourier integrals
by: Zhyhallo, T. V., et al.
Published: (2004)
by: Zhyhallo, T. V., et al.
Published: (2004)
Best trigonometric and bilinear approximations for the classes of (ψ, β) -differentiable periodic functions
by: V. V. Shkapa
Published: (2016)
by: V. V. Shkapa
Published: (2016)
Best trigonometric and bilinear approximations for the classes of $(ψ, β)$ -differentiable periodic functions
by: Shkapa, V. V., et al.
Published: (2016)
by: Shkapa, V. V., et al.
Published: (2016)
Approximation of ( ψ, β )-differentiable functions defined on the real axis by Weierstrass operators
by: Kalchuk, I. V., et al.
Published: (2007)
by: Kalchuk, I. V., et al.
Published: (2007)
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)
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)
by: Hrabova, U. Z., et al.
Published: (2013)
Uniform approximations by the threeharmonic Poisson integrals on the Sobolev classes
by: U. Z. Grabova
Published: (2019)
by: U. Z. Grabova
Published: (2019)
Наближення (ψ, β)-диференційовних функцій малої гладкості бігармонічними інтегралами Пуассона
by: Жигалло, К.М., et al.
Published: (2011)
by: Жигалло, К.М., et al.
Published: (2011)
Estimates of the best bilinear approximations for the classes of (ψ, β)-differentiable periodic multivariate functions
by: K. V. Shvai
Published: (2018)
by: K. V. Shvai
Published: (2018)
Best approximations of analogous of the Brenoulli kernels and classes of the (ψ,β) differentiable periodic functions
by: V. V. Shkapa
Published: (2014)
by: V. V. Shkapa
Published: (2014)
Estimates of the best bilinear approximations for the classes of $(ψ,β)$-differentiable periodic multivariate functions
by: Shvai, K. V., et al.
Published: (2018)
by: Shvai, K. V., et al.
Published: (2018)
Bestm-term trigonometric approximations of classes of (Ψ, β)-differentiable functions of one variable
by: Fedorenko, A. S., et al.
Published: (2000)
by: Fedorenko, A. S., et al.
Published: (2000)
Approximative properties of biharmonic Poisson integrals on Hölder classes
by: Hembars'ka, S. B., et al.
Published: (2017)
by: Hembars'ka, S. B., et al.
Published: (2017)
Grid-algorithms on classes of (ψ,β)-differentiable functions
by: V. V. Shkapa
Published: (2015)
by: V. V. Shkapa
Published: (2015)
Similar Items
-
Approximation of (ψ, β)-differentiable functions of
low smoothness by biharmonic Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2011) -
Approximation of (ψ, β)-differentiable functions by Weierstrass integrals
by: Kalchuk, I. V., et al.
Published: (2007) -
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) -
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)