Cover Image

Approximation of the $\bar {\Psi}$ -integrals of functions defined on the real axis by Fourier operators

We find asymptotic formulas for the least upper bounds of the deviations of Fourier operators on classes of functions locally summable on the entire real axis and defined by $\bar {\Psi}$-integrals. On these classes, we also obtain asymptotic equalities for the upper bounds of functionals that chara...

Full description

Saved in:

Bibliographic Details
Date:	2004
Main Authors:	Sokolenko, I. V., Stepanets, O. I., Соколенко, І. В., Степанець, О. І.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2004
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3812
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

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 $(\psi, \beta)$-Differentiable Functions Defined on the Real Axis by Abel-Poisson Operators
by: Zhyhallo, T. V., et al.
Published: (2005)

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)

Approximation by the Fourier operators of the functions preset on a real axis
by: Stepanets , A. I., et al.
Published: (1988)

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)

Approximation of $\bar {\psi} - \text{Integrals}$ of periodic functions by Fourier sums (small smoothness). IIof periodic functions by Fourier sums (small smoothness). II
by: Stepanets, O. I., et al.
Published: (1998)

Approximation of ( ψ, β )-differentiable functions defined on the real axis by Weierstrass operators
by: Kalchuk, I. V., et al.
Published: (2007)

Approximation of continuous functions defined on the real axis by generalized Zygmund operators
by: Ostrovskaya, О. V., et al.
Published: (1999)

Approximation by entire functions in the mean on the real axis
by: Stepanets , A. I., et al.
Published: (1991)

Approximation of $(\bar \psi ,\bar \beta )$ -differentiable periodic functions of many variables
by: Zaderei, P. V., et al.
Published: (1993)

Rate of convergence of a group of deviations on sets of $\bar{\psi}$−integrals
by: Stepanets, O. I., et al.
Published: (1999)

Multiple Fourier Sums on Sets of $\bar \psi$ -Differentiable Functions (Low Smoothness)
by: Lasuriya, R. A., et al.
Published: (2003)

Rate of convergence of Fourier series on the classes of $\overline{\psi}$-integrals
by: Stepanets, O. I., et al.
Published: (1997)

Approximation of the functions preset on the real axis by the Valle Pussen operators
by: Rukasov , V. I., et al.
Published: (1992)

Approximation of locally integrable functions on the real line
by: Stepanets, O. I., et al.
Published: (1999)

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)

Convergence of Fourier series on the systems of rational functions on the real axis
by: S. O. Chaichenko
Published: (2015)

On the Lebesgue Inequality on Classes of $\bar{\psi}$ -Differentiable Functions
by: Zaderei, N. N., et al.
Published: (2013)

Bernstein-type inequalities for splines defined on the real axis
by: Babenko, V. F., et al.
Published: (2011)

Approximation of classes $C_\infty ^{\bar \psi }$ by zygmund sumsby zygmund sums
by: Fedorenko, An. S., et al.
Published: (2000)

Approximation of continuous functions given on the real axis by three-harmonic Poisson operators
by: U. Z. Hrabova, et al.
Published: (2023)

Approximation of Convolution Classes by Fourier Sums. New Results
by: Stepanets, O. I., et al.
Published: (2002)

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)

Approximation of locally integrable functions on the real line
by: Stepanets, O.I., et al.
Published: (1999)

Approximation of the Classes $C^{{\bar \psi }} H_{\omega }$ by de la Vallée-Poussin Sums
by: Rukasov, V. I., et al.
Published: (2002)

Approximations in spaces of locally integrable functions
by: Stepanets, O. I., et al.
Published: (1994)

Certain remarks on approximation of the hing smoothness functions by the Fourier operators
by: Stepanets , A. I., et al.
Published: (1992)

Best Approximations for the Cauchy Kernel on the Real Axis
by: V. V. Savchuk, et al.
Published: (2014)

Best Approximations for the Cauchy Kernel on the Real Axis
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)

On behaviour of integral functions represented by the Dirichlet series on the real axis
by: Vinnitsky , В. V., et al.
Published: (2025)

Integral transformation of Euler-Fourier-Euler on the polar axis
by: O. M. Nikitina
Published: (2013)

Approximation of functions from the classes $C^{\psi}_{\beta, \infty}$ by biharmonic Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2011)

Approximation by Fourier sums in classes of Weyl – Nagy differentiable functions with high exponent of smoothness
by: Serdyuk, A. S., et al.
Published: (2022)

Approximation of the classes $C^{\psi}_{\beta}H^{\alpha}$ by biharmonic Poisson integrals
by: Abdullayev, F. G., et al.
Published: (2020)

Approximation of functions satisfying the Lipschitz condition on a finite segment of the real axis by Poisson–Chebyshev&#039;s integrals
by: T. V. Zhigallo
Published: (2018)

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)

Approximating properties of biharmonic Poisson operators in the classes $\hat{L}^{\psi}_{\beta, 1}$
by: Zhyhallo, T. V., et al.
Published: (2017)

On Subharmonic Functions of the First Order with Restrictions on the Real Axis
by: Poedintseva, I.V.
Published: (2008)

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)