Approximation of conjugate differentiable functions by their Abel–Poisson integrals
We obtain the exact values of upper bounds of approximations of classes of periodic conjugate differentiable functions by their Abel–Poisson integrals in uniform and integral metrics.
Saved in:
| Date: | 2009 |
|---|---|
| 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
2009
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3002 |
| 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)
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 Differentiable Periodic Functions by Their Biharmonic Poisson Integrals
by: Zhyhallo, K. M., et al.
Published: (2002)
by: Zhyhallo, K. M., et al.
Published: (2002)
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)
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)
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)
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 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 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)
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 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 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)
Approximation of conjugate periodic functions by their three-harmonic Poisson integrals
by: U. Z. Grabova
Published: (2020)
by: U. Z. Grabova
Published: (2020)
Approximation of holomorphic functions by Taylor-Abel-Poisson means
by: Savchuk, V. V., et al.
Published: (2007)
by: Savchuk, V. 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)
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 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)
Approximation of 2π-periodic functions by Taylor—Abel—Poisson operators in the integral metric
by: Prestin, J., et al.
Published: (2017)
by: Prestin, J., et al.
Published: (2017)
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)
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)
On some boundary properties of Abel–Poisson integrals
by: E. A. Zubareva, et al.
Published: (2020)
by: E. A. Zubareva, et al.
Published: (2020)
On some boundary properties of Abel–Poisson integrals
by: T. V. Zhigallo, et al.
Published: (2020)
by: T. V. Zhigallo, et al.
Published: (2020)
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)
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)
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 (ψ, β)-differentiable functions by Weierstrass integrals
by: Kalchuk, I. V., et al.
Published: (2007)
by: Kalchuk, I. V., et al.
Published: (2007)
Direct and inverse theorems on the approximation of 2р-periodic functions by Taylor–Abel–Poisson operators
by: Yu. Prestin, et al.
Published: (2017)
by: Yu. Prestin, et al.
Published: (2017)
Direct and inverse theorems on the approximation of
2π -periodic functions by Taylor – Abel – Poisson operators
by: Prestin, J., et al.
Published: (2017)
by: Prestin, J., et al.
Published: (2017)
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)
Estimate of the rate of approximation by the images of operators of Abel–Poisson type of some special classes of functions
by: A. M. Poddubnyj
Published: (2019)
by: A. M. Poddubnyj
Published: (2019)
Summation of p-Faber series by the Abel–poisson method in the integral metric
by: Savchuk, V. V., et al.
Published: (2010)
by: Savchuk, V. V., et al.
Published: (2010)
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)
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 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)
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 the classes CψβHα by biharmonic Poisson integrals
by: F. H. Abdullaiev, et al.
Published: (2020)
by: F. H. Abdullaiev, et al.
Published: (2020)
Approximative properties of Abel–Poisson-type operators on the general-ized Hцlder classes
by: Ju. I. Kharkevich, et al.
Published: (2021)
by: Ju. I. Kharkevich, et al.
Published: (2021)
On approximation of the quasi-smooth functions by their Poisson-type integrals
by: Ju. I. Kharkevich
Published: (2017)
by: Ju. I. Kharkevich
Published: (2017)
Similar Items
-
Approximation of conjugate differentiable functions by biharmonic Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2009) -
Approximation of $(\psi, \beta)$-Differentiable Functions Defined on the Real Axis by Abel-Poisson Operators
by: Zhyhallo, T. V., et al.
Published: (2005) -
Approximation of Differentiable Periodic Functions by Their Biharmonic Poisson Integrals
by: Zhyhallo, K. M., et al.
Published: (2002) -
Approximation of (ψ, β)-differentiable functions by Poisson integrals in the uniform metric
by: Zhyhallo, T. V., et al.
Published: (2009) -
Approximation of (ψ, β)-differentiable functions of
low smoothness by biharmonic Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2011)