Approximation of locally integrable functions on the real line
We introduce the notion of generalized \(\bar \psi \) -derivatives for functions locally integrable on the real axis and investigate problems of approximation of the classes of functions determined by these derivatives with the use of entire functions of exponential type.
Saved in:
| Date: | 1999 |
|---|---|
| Main Authors: | Stepanets, O. I., Wang, Kunyang, Zhang, Xirong, Степанець, О. І., Ванг, Кунянг, Чжан, Хіронг |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4756 |
| 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 locally integrable functions on the real line
by: Stepanets, O.I., et al.
Published: (1999)
by: Stepanets, O.I., et al.
Published: (1999)
Approximations in spaces of locally integrable functions
by: Stepanets, O. I., et al.
Published: (1994)
by: Stepanets, O. I., et al.
Published: (1994)
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 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 minimal non- MSP -groups
by: Guo, P., et al.
Published: (2011)
by: Guo, P., et al.
Published: (2011)
Weakly SS-Quasinormal Minimal Subgroups and the Nilpotency of a Finite Group
by: Zhang, Xirong, et al.
Published: (2014)
by: Zhang, Xirong, et al.
Published: (2014)
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)
Discrete time approximation of coalescing stochastic flows on the real line
by: I. I. Nishchenko
Published: (2011)
by: I. I. Nishchenko
Published: (2011)
Approximation by de la Vallée-Poussin operators on the classes of functions locally summable on the real axis
by: Rukasov, V. I., et al.
Published: (2010)
by: Rukasov, V. I., et al.
Published: (2010)
A note on $SΦ$-supplemented subgroups
by: Li, C., et al.
Published: (2016)
by: Li, C., et al.
Published: (2016)
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 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)
Problems of approximation theory in linear spaces
by: Stepanets, O. I., et al.
Published: (2006)
by: Stepanets, O. I., et al.
Published: (2006)
Approximation of Convolution Classes by Fourier Sums. New Results
by: Stepanets, O. I., et al.
Published: (2002)
by: Stepanets, O. I., et al.
Published: (2002)
On conformal invariants in problems of constructive function theory on sets of the real line
by: Andrievskii, V.V.
Published: (2004)
by: Andrievskii, V.V.
Published: (2004)
Limits on the real line of symmetric spaces on segments
by: Kucher, О. V., et al.
Published: (1995)
by: Kucher, О. V., et al.
Published: (1995)
Limits on the real line of symmetric spaces on segments
by: Kucher, О.V., et al.
Published: (1995)
by: Kucher, О.V., et al.
Published: (1995)
Bojanov–Naidenov problem for the differentiable functions on the real line and the inequalities of various metrics
by: V. A. Kofanov
Published: (2019)
by: V. A. Kofanov
Published: (2019)
Bojanov – Naidenov problem for the differentiable functions on the real line
and the inequalities of various metrics
by: Kofanov, V. A., et al.
Published: (2019)
by: Kofanov, V. A., et al.
Published: (2019)
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 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 functions satisfying the Lipschitz condition on a finite segment of the real axis by Poisson–Chebyshev's integrals
by: T. V. Zhigallo
Published: (2018)
by: T. V. Zhigallo
Published: (2018)
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)
On behaviour of integral functions represented by the Dirichlet series on the real axis
by: Vinnitsky , В. V., et al.
Published: (2025)
by: Vinnitsky , В. V., et al.
Published: (2025)
Approximation of $\bar {\psi} - integrals$−integrals of periodic functions by Fourier sums (small smoothness). Iof periodic functions by Fourier sums (small smoothness). I
by: Stepanets, O. I., et al.
Published: (1998)
by: Stepanets, O. I., et al.
Published: (1998)
On estimates of periodic solutions of elliptic systems on the real line
by: T. M. Zinchenko
Published: (2013)
by: T. M. Zinchenko
Published: (2013)
Numerical interpretation of the Gurov – Reshetnyak inequality on the real line
by: V. D. Didenko, et al.
Published: (2016)
by: V. D. Didenko, et al.
Published: (2016)
Sonine Transform Associated to the Dunkl Kernel on the Real Line
by: Soltani, F.
Published: (2008)
by: Soltani, F.
Published: (2008)
Numerical interpretation of the Gurov – Reshetnyak
inequality on the real line
by: Didenko, V. D., et al.
Published: (2016)
by: Didenko, V. D., et al.
Published: (2016)
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)
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 $(\psi, \beta)$-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 by Gauss-Weierstrass integrals
by: O. L. Shvaj
Published: (2021)
by: O. L. Shvaj
Published: (2021)
Differentiability of integrals of real functions with respect to $L_0$-valued measures
by: Radchenko, V. N., et al.
Published: (1999)
by: Radchenko, V. N., et al.
Published: (1999)
Approximation of cauchy-type integrals in Jordan domains
by: Stepanets, O. I., et al.
Published: (1993)
by: Stepanets, O. I., et al.
Published: (1993)
Best Approximations for the Cauchy Kernel on the Real Axis
by: Savchuk, V. V., et al.
Published: (2014)
by: Savchuk, V. V., et al.
Published: (2014)
International conference on the theory of approximation of functions and its applications dedicated to the memory of V. K. Dzyadyk
by: Romanyuk, A. S., et al.
Published: (1999)
by: Romanyuk, A. S., et al.
Published: (1999)
Approximation of Cauchy-Type Integrals
by: Savchuk, V. V., et al.
Published: (2002)
by: Savchuk, V. V., et al.
Published: (2002)
Best Approximations for the Cauchy Kernel on the Real Axis
by: V. V. Savchuk, et al.
Published: (2014)
by: V. V. Savchuk, et al.
Published: (2014)
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)
Similar Items
-
Approximation of locally integrable functions on the real line
by: Stepanets, O.I., et al.
Published: (1999) -
Approximations in spaces of locally integrable functions
by: Stepanets, O. I., et al.
Published: (1994) -
Approximation of the $\bar {\Psi}$
-integrals of functions defined on the real axis by Fourier operators
by: Sokolenko, I. V., et al.
Published: (2004) -
Approximation by entire functions in the mean on the real axis
by: Stepanets , A. I., et al.
Published: (1991) -
On minimal non- MSP -groups
by: Guo, P., et al.
Published: (2011)