Approximation of $(\psi, \beta)$-Differentiable Functions Defined on the Real Axis by Abel-Poisson Operators
We obtain asymptotic equalities for upper bounds of approximations of functions on the classes \(\hat C_{\beta ,\infty }^\psi\) and \(\hat L_{\beta ,1}^\psi\) by Abel-Poisson operators.
Saved in:
| Date: | 2005 |
|---|---|
| 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
2005
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3667 |
| 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
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 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 their Abel–Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2009)
by: Zhyhallo, K. M., et al.
Published: (2009)
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 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 $\bar {\Psi}$
-integrals of functions defined on the real axis by Fourier operators
by: Sokolenko, I. V., et al.
Published: (2004)
by: Sokolenko, I. V., et al.
Published: (2004)
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)
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 ( 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)
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)
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)
Approximation of continuous functions defined on the real axis by generalized Zygmund operators
by: Ostrovskaya, О. V., et al.
Published: (1999)
by: Ostrovskaya, О. V., et al.
Published: (1999)
Approximation of continuous functions given on the real axis by three-harmonic Poisson operators
by: U. Z. Hrabova, et al.
Published: (2023)
by: U. Z. Hrabova, et al.
Published: (2023)
Approximation of $(\bar \psi ,\bar \beta )$ -differentiable periodic functions of many variables
by: Zaderei, P. V., et al.
Published: (1993)
by: Zaderei, P. V., et al.
Published: (1993)
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 $\bar {\omega}$
-integrals of continuous functions defined on the real axis by Fourier operators
by: Sokolenko, I. V., et al.
Published: (2004)
by: Sokolenko, I. 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)
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 holomorphic functions by Taylor-Abel-Poisson means
by: Savchuk, V. V., et al.
Published: (2007)
by: Savchuk, V. V., et al.
Published: (2007)
On behaviour of deviations’ group on sets of $(\psi,\beta)$-differentiable functions
by: Stepanets, A. I., et al.
Published: (1987)
by: Stepanets, A. I., et al.
Published: (1987)
Classes of $(\psi, \beta)$-differential functions of complex variable and approximation by linear averages of their Faber series
by: Stepanec, A.I., et al.
Published: (1992)
by: Stepanec, A.I., et al.
Published: (1992)
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 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)
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)
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)
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)
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)
Approximation by the Fourier operators of the functions preset on a real axis
by: Stepanets , A. I., et al.
Published: (1988)
by: Stepanets , A. I., et al.
Published: (1988)
Approximation of the functions preset on the real axis by the Valle Pussen operators
by: Rukasov , V. I., et al.
Published: (1992)
by: Rukasov , V. I., et al.
Published: (1992)
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)
Best mean-square approximation of functions defined on the real axis by entire functions of exponential type
by: Vakarchuk, S. B., et al.
Published: (2012)
by: Vakarchuk, S. B., et al.
Published: (2012)
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)
Bernstein-type inequalities for splines defined on the real axis
by: Babenko, V. F., et al.
Published: (2011)
by: Babenko, V. F., et al.
Published: (2011)
Approximation by entire functions in the mean on the real axis
by: Stepanets , A. I., et al.
Published: (1991)
by: Stepanets , A. I., et al.
Published: (1991)
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)
Similar Items
-
Approximating properties of biharmonic Poisson operators in the classes $\hat{L}^{\psi}_{\beta, 1}$
by: Zhyhallo, T. V., et al.
Published: (2017) -
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 their Abel–Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2009) -
Approximation of functions from the classes $C^{\psi}_{\beta, \infty}$ by biharmonic Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2011) -
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)