On the Approximation of Functions of the Hölder Class by Triharmonic Poisson Integrals
We determine the exact value of the upper bound for the deviation of the triharmonic Poisson integral from functions of the Hölder class.
Saved in:
| Date: | 2001 |
|---|---|
| Main Authors: | Zhyhallo, K. M., Kharkevych, Yu. I., Жигалло, К. М., Харкевич, Ю. І. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2001
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4306 |
| 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
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)
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)
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)
Approximative properties of biharmonic Poisson integrals on Hölder classes
by: S. B. Hembarska, et al.
Published: (2017)
by: S. B. Hembarska, et al.
Published: (2017)
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 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 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 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 from the Holder class given on a segment by their biharmonic Poisson operators
by: K. M. Zhyhallo, et al.
Published: (2019)
by: K. M. Zhyhallo, et al.
Published: (2019)
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 Poisson integrals in the uniform metric
by: Zhyhallo, T. V., et al.
Published: (2009)
by: Zhyhallo, T. V., et al.
Published: (2009)
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)
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)
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)
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)
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)
Approximating properties of biharmonic Poisson operators in the classes LΨβ,1
by: T. V. Zhyhallo, et al.
Published: (2017)
by: T. V. Zhyhallo, et al.
Published: (2017)
Approximation of the classes $C^{\psi}_{\beta}H^{\alpha}$ by biharmonic Poisson integrals
by: Abdullayev, F. G., et al.
Published: (2020)
by: Abdullayev, F. G., et al.
Published: (2020)
Approximation of the classes $W^{r}_{\beta,\infty}$ by generalized Abel-Poisson integrals
by: Kal'chuk, I. V., et al.
Published: (2022)
by: Kal'chuk, I. V., et al.
Published: (2022)
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)
I. Approximative properties of biharmonic Poisson integrals in the classes $W^r_{\beta} H^{\alpha}$
by: Kalchuk, I. V., et al.
Published: (2016)
by: Kalchuk, I. V., et al.
Published: (2016)
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)
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)
Approximation of the classes CψβHα by biharmonic Poisson integrals
by: F. H. Abdullaiev, et al.
Published: (2020)
by: F. H. Abdullaiev, et al.
Published: (2020)
On approximation of functions from Zygmund classes by biharmonic Poisson integrals
by: B. N. Borsuk, et al.
Published: (2021)
by: B. N. Borsuk, et al.
Published: (2021)
Uniform approximations of functions of Lipschitz class by threeharmonic Poisson integrals
by: U. Z. Grabova
Published: (2017)
by: U. Z. Grabova
Published: (2017)
Fourier transform of the summing Abel–Poisson function
by: T. V. Zhyhallo, et al.
Published: (2022)
by: T. V. Zhyhallo, et al.
Published: (2022)
Approximation in the mean of classes of functions with fractional derivatives by their Abel–Poisson integrals
by: T. V. Zhigallo
Published: (2019)
by: T. V. Zhigallo
Published: (2019)
On the Best Linear Approximation Method for Hölder Classes
by: Skorokhodov, D. S., et al.
Published: (2015)
by: Skorokhodov, D. S., et al.
Published: (2015)
Uniform approximations by the threeharmonic Poisson integrals on the Sobolev classes
by: U. Z. Grabova
Published: (2019)
by: U. Z. Grabova
Published: (2019)
Approximation of classes of Poisson integrals by repeated Fejer sums
by: O. A. Novikov, et al.
Published: (2015)
by: O. A. Novikov, et al.
Published: (2015)
Exact equalities for approximation of functions from the Sobolev class by their generalized Poisson integrals
by: Ju. I. Kharkevich
Published: (2021)
by: Ju. I. Kharkevich
Published: (2021)
Approximative properties of the generalized Poisson integrals on the classes of functions, determined by a modulus of continuity
by: Ju. I. Kharkevich
Published: (2019)
by: Ju. I. Kharkevich
Published: (2019)
Approximative properties of the three-harmonic Poisson integrals on the classes W
by: U. Z. Hrabova, et al.
Published: (2020)
by: U. Z. Hrabova, et al.
Published: (2020)
Approximation of classes of periodic multivariable functions by linear positive operators
by: Bushev, D. M., et al.
Published: (2006)
by: Bushev, D. M., et al.
Published: (2006)
Approximative properties of the threeharmonic Poisson integrals on the Hцlder classes
by: U. Z. Grabova
Published: (2018)
by: U. Z. Grabova
Published: (2018)
On approximation of the quasi-smooth functions by their Poisson-type integrals
by: Ju. I. Kharkevich
Published: (2017)
by: Ju. I. Kharkevich
Published: (2017)
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)
On the Hölder property for functions from the class $B_{q, s}$
by: Skrypnik, I. V., et al.
Published: (1993)
by: Skrypnik, I. V., et al.
Published: (1993)
On the approximation of the classes $W_{β}^rH^{α}$
by biharmonic Poisson integrals
by: Hrabova, U. Z., et al.
Published: (2018)
by: Hrabova, U. Z., et al.
Published: (2018)
Similar Items
-
On the Approximation of Functions of the Hölder Class by Biharmonic Poisson Integrals
by: Zhyhallo, K. M., et al.
Published: (2000) -
Approximative properties of biharmonic Poisson integrals on Hölder classes
by: Hembars'ka, S. B., et al.
Published: (2017) -
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) -
Approximative properties of biharmonic Poisson integrals on Hölder classes
by: S. B. Hembarska, et al.
Published: (2017) -
Approximation of functions from the classes $C^{\psi}_{\beta, \infty}$ by biharmonic Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2011)