Cover Image

On behaviour of deviations’ group on sets of $(\psi,\beta)$-differentiable functions

Изучаются функционалы, характеризующие сильную суммируемость рядов Фурье в пространствах $C_{\beta}^{\psi}$ непрерывных $(\psi,\beta)$-дифференцируемых функций. Из полученных результатов, в частности, вытекают оценки отклонений сумм Валле Пуссена на классах $C_{\beta}^{\psi} C$ выраженные через наил...

Full description

Saved in:

Bibliographic Details
Date:	1987
Main Authors:	Stepanets, A. I., Pachulia, N. L., Степанец, А. И., Пачулиа, Н. Л.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 1987
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/9063
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

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

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)

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

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

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

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

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

Multiple Fourier sums and ψ-strong means of their deviations on the classes of ψ-differentiable functions of many variables
by: Lasuriya, R. A., 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)

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

The Best $m$-Term Trigonometric Approximations of the Classes $L_{\beta ,p}^\Psi$ in Uniform Metric
by: Fedorenko, A. S., et al.
Published: (2004)

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)

Uniform estimates of integral strong average derivations of continuous functions by integral functions
by: Pachulia , N. L., et al.
Published: (2025)

On Strong Summability of Fourier Series of Summable Functions
by: Pachulia, N. L., et al.
Published: (2000)

Approximation of the $\bar {\Psi}$ -integrals of functions defined on the real axis by Fourier operators
by: Sokolenko, I. V., et al.
Published: (2004)

Existence theory for $\psi$-Caputo fractional differential equations
by: Bendrici, Nadhir, et al.
Published: (2025)

Estimates of a group of φ-deviations of analytic functions
by: M. V. Haievskyi, et al.
Published: (2015)

On asymptotic behaviour of probabilities of small deviations for compound Cox processes
by: Frolov, A.N.
Published: (2008)

Behaviour of a mapping in the vicinity of an attracting set
by: Sharkоvskу, A. N., et al.
Published: (1966)

Deviation of a set of trajectories from the state of equilibrium
by: A. A. Martynjuk
Published: (2017)

On analytic solutions of nonlinear differential functional equations with nonlinear deviations of arguments
by: Pelyukh, G. P., et al.
Published: (1999)

On the Estimation of Strong Means of Fourier Series
by: Pachulia, N. L., et al.
Published: (2015)

Points of strong summability of fourier series
by: Pachulia, N. L., et al.
Published: (1994)

Classification of infinitely differentiable periodic functions
by: Serdyuk, A. S., et al.
Published: (2008)

Asymptotic Behavior of Solutions of Systems of Functional Differential Equations with Nonlinear Deviation of Argument
by: Oleinichenko, A. P., et al.
Published: (2002)

On Global Solutions of Systems of Nonlinear Functional Differential Equations with Deviating Argument Dependent on Unknown Functions
by: Pelyukh, G. P., et al.
Published: (2002)

Chemical bond deviation in group VI hydrids
by: Okhrimenko, B.A., et al.
Published: (2013)

Groups of deviations of Fourier series in generalized Hölder spaces
by: Lasuriya, R. A., et al.
Published: (2016)

Estimates for a Group of Deviations in Generalized Hölder Metric
by: Lasuriya, R. A., et al.
Published: (2001)

Behavior of solutions of differential equations with deviating argument
by: Hormozi, M.
Published: (2012)

Approximation of $\overline \psi$-Integrals of Periodic Functions by de la Vallée-Poussin Sums (Low Smoothness)
by: Rukasov, V. I., et al.
Published: (2001)

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

Groups of deviations of Fourier series in generalized Hölder spaces
by: R. A. Lasurija
Published: (2016)

Correlation function and dispersion of the probable beta-distribution
by: Ye. Davydok
Published: (2016)

Uniform Asymptotic Expansion for the Incomplete Beta Function
by: Nemes, G., et al.
Published: (2016)

On oscilation and asymptotic behaviour of solutions of one system of differential-functional equations of neutral type
by: Ivanov , A. F., et al.
Published: (1992)