Approximation of Differentiable Periodic Functions by Their Biharmonic Poisson Integrals
We determine the exact values and asymptotic decompositions of upper bounds of approximations by biharmonic Poisson integrals on classes of periodic differentiable functions.
Saved in:
| Date: | 2002 |
|---|---|
| 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
2002
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4160 |
| 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 conjugate differentiable functions by biharmonic Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2009)
by: Zhyhallo, K. M., et al.
Published: (2009)
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 (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 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 (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)
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)
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)
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)
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)
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 $(\psi, \beta)$-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)
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 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)
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)
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 the classes CψβHα by biharmonic Poisson integrals
by: F. H. Abdullaiev, et al.
Published: (2020)
by: F. H. Abdullaiev, et al.
Published: (2020)
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)
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)
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)
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)
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)
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 of conjugate periodic functions by their three-harmonic Poisson integrals
by: U. Z. Grabova
Published: (2020)
by: U. Z. Grabova
Published: (2020)
Taylor series of biharmonic Poisson integral for upper half plane
by: A. M. Shutovskyi, et al.
Published: (2022)
by: A. M. Shutovskyi, et al.
Published: (2022)
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)
Tangential limit values of a biharmonic poisson integral in a disk
by: Hembars'ka, S. B., et al.
Published: (1997)
by: Hembars'ka, S. B., et al.
Published: (1997)
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 2π-periodic functions by Taylor—Abel—Poisson operators in the integral metric
by: J. Prestin, et al.
Published: (2017)
by: J. Prestin, et al.
Published: (2017)
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 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)
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 Poisson integrals by linear methods
by: O. A. Novikov, et al.
Published: (2017)
by: O. A. Novikov, et al.
Published: (2017)
On some asymptotic properties of solutions to biharmonic equations
by: Yu. I. Kharkevych
Published: (2022)
by: Yu. I. Kharkevych
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)
Algorithmization of calculations of the Kolmogorov–Nikol'skii constants for values of approximations of conjugated differentiable functions by generalized Poisson integrals
by: K. N. Zhigallo
Published: (2019)
by: K. N. Zhigallo
Published: (2019)
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)
Similar Items
-
Approximation of conjugate differentiable functions by biharmonic Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2009) -
On the Approximation of Functions of the Hölder Class by Biharmonic Poisson Integrals
by: Zhyhallo, K. M., et al.
Published: (2000) -
Approximation of (ψ, β)-differentiable functions of
low smoothness by biharmonic Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2011) -
Approximation of functions from the classes $C^{\psi}_{\beta, \infty}$ by biharmonic Poisson integrals
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)