Approximation of continuous functions defined on the real axis by generalized Zygmund operators
We establish estimates for upper bounds of deviations of generalized Zygmund operators on the classes of continuous $(ψ, β)$-differentiable functions defined on the real axis.
Saved in:
| Date: | 1999 |
|---|---|
| Main Authors: | Ostrovskaya, О. V., Островська, О. В. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4752 |
| 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 $\bar {\omega}$
-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 $\bar {\Psi}$
-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 ( 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 $(\psi, \beta)$-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 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 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 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)
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 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 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)
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 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)
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)
Comparison of Exact Constants in Inequalities for Derivatives of Functions Defined on the Real Axis and a Circle
by: Babenko, V. F., et al.
Published: (2003)
by: Babenko, V. F., et al.
Published: (2003)
Approximation of holomorphic functions of Zygmund class by Fejer means
by: Savchuk, V. V., et al.
Published: (2012)
by: Savchuk, V. V., et al.
Published: (2012)
Approximate properties of the Zygmund method
by: Stepanets, O. I., et al.
Published: (1999)
by: Stepanets, O. I., et al.
Published: (1999)
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)
On the existence and uniqueness of solutions continuous and bounded on the real axis for nonlinear functional equations
by: Pelyukh, G. P., et al.
Published: (2000)
by: Pelyukh, G. P., et al.
Published: (2000)
Approximation of functions from Weyl-Nagy classes by Zygmund averages
by: Kostich, M. V., et al.
Published: (1998)
by: Kostich, M. V., et al.
Published: (1998)
Application of the even-type delayed mean in the approximation of functions from the generalized Zygmund class with weight
by: Krasniqi, Xhevat Z., et al.
Published: (2025)
by: Krasniqi, Xhevat Z., et al.
Published: (2025)
Approximation of classes $C_\infty ^{\bar \psi }$ by zygmund sumsby zygmund sums
by: Fedorenko, An. S., et al.
Published: (2000)
by: Fedorenko, An. S., et al.
Published: (2000)
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 the classes $C_{β}^{ψ} H_{ω}$ by generalized Zygmund sums
by: Ovsii, E. Yu., et al.
Published: (2009)
by: Ovsii, E. Yu., et al.
Published: (2009)
On the moduli of continuity and fractional-order derivatives in the problems of best mean-square approximations by entire functions of the exponential type on the entire real axis
by: S. B. Vakarchuk
Published: (2017)
by: S. B. Vakarchuk
Published: (2017)
On the moduli of continuity and fractional-order derivatives in the problems of
best mean-square approximations by entire functions of the exponential type on the entire
real axis
by: Vakarchuk, S. B., et al.
Published: (2017)
by: Vakarchuk, S. B., et al.
Published: (2017)
Approximation of the classes of convolutions of periodic functions by Zygmund sums in integral metrics
by: U. Z. Hrabova
Published: (2014)
by: U. Z. Hrabova
Published: (2014)
Estimates of uniform approximations by Zygmund sums on classes of convolutions of periodic functions
by: A. S. Serdiuk, et al.
Published: (2013)
by: A. S. Serdiuk, et al.
Published: (2013)
On the approximation in the mean with the Chebyshev-Hermite weight by algebraic polynomials on the real axis
by: S. B. Vakarchuk, et al.
Published: (2013)
by: S. B. Vakarchuk, et al.
Published: (2013)
On Subharmonic Functions of the First Order with Restrictions on the Real Axis
by: Poedintseva, I.V.
Published: (2008)
by: Poedintseva, I.V.
Published: (2008)
On the approximation of functions from Weyl-Nagy classes by Zygmund sums in the $L_q$ metric
by: Kostich, M. V., et al.
Published: (1999)
by: Kostich, M. V., et al.
Published: (1999)
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)
Solutions of systems of nonlinear difference equations that are continuous and bounded on the entire real axis and their properties
by: Pelyukh, G. P., et al.
Published: (1998)
by: Pelyukh, G. P., et al.
Published: (1998)
Moduli of continuity defined by zero continuation of functions and K-functionals with restrictions
by: Radzievskii, G. V., et al.
Published: (1996)
by: Radzievskii, G. V., et al.
Published: (1996)
The best $L_1$-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes
by: Babenko, V. F., et al.
Published: (1998)
by: Babenko, V. F., et al.
Published: (1998)
Convergence of Fourier series on the systems of rational functions on the real axis
by: S. O. Chaichenko
Published: (2015)
by: S. O. Chaichenko
Published: (2015)
Inequalities for Nonperiodic Splines on the Real Axis and Their Derivatives
by: Kofanov, V. A., et al.
Published: (2014)
by: Kofanov, V. A., et al.
Published: (2014)
Exact inequalities for derivatives of functions of low smoothness defined on an axis and a semiaxis
by: Babenko, V. F., et al.
Published: (2006)
by: Babenko, V. F., et al.
Published: (2006)
On the growth of functions represented by Dirichlet series with complex coefficients on the real axis
by: Vynnyts’kyi, B. V., et al.
Published: (1997)
by: Vynnyts’kyi, B. V., et al.
Published: (1997)
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)
Widths of some classes of functions defined by the generalized moduli of continuity _in the space L_2
by: S. B. Vakarchuk
Published: (2017)
by: S. B. Vakarchuk
Published: (2017)
Similar Items
-
Approximation of $\bar {\omega}$
-integrals of continuous functions defined on the real axis by Fourier operators
by: Sokolenko, I. 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) -
Approximation of ( ψ, β )-differentiable functions defined on the real axis by Weierstrass operators
by: Kalchuk, I. V., et al.
Published: (2007) -
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 continuous functions given on the real axis by three-harmonic Poisson operators
by: U. Z. Hrabova, et al.
Published: (2023)