Cover Image

On Lebesgue continuity on classes of $\bar{\psi}$-differentiable functions

In this paper estimates deviations of Fourier sums on the spaces $C^{\bar{\psi}}$ expressed in terms of the best approximation of $\bar{\psi}$-derivatives of functions in the understanding A.~I.~Stepanets are found. The sequence $\bar{\psi}=(\psi_1,\psi_2)$ the conditions of Boas-Telyakovskij are sa...

Full description

Saved in:

Bibliographic Details
Date:	2013
Author Affiliations:	М. В. Гаєвський — Інститут математики НАН України П. В. Задерей — Інститут математики НАН України
Keywords:	keywords
Main Authors:	Gayevs’kyĭ, M. V., Zadereĭ, P. V., Гаєвський, М. В., Задерей, П. В.
Format:	Article
Language:	Ukrainian
Published:	Інститут математики НАН України 2013
Online Access:	https://trim.imath.kiev.ua/index.php/trim/article/view/139
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Transactions of Institute of Mathematics of NAS of Ukraine
Download file:

Institution

Transactions of Institute of Mathematics of NAS of Ukraine

Similar Items

On Lebesgue continuity on classes of $\bar{\psi}$-differentiable functions.
by: Gayevs’kyĭ, M. V., et al.
Published: (2014)

On Lebesgue continuity on classes of ш-differentiable functions
by: M. V. Haievskyi, et al.
Published: (2013)

Lebesgue type inequalities for the de la Vallée Poussin sums and their interpolation analogues on classes of $(\psi,\bar{\beta})$-differentiable functions
by: Voĭtovych, V. A., et al.
Published: (2013)

On the Lebesgue Inequality on Classes of ψ-Differentiable Functions
by: N. M. Zaderei, et al.
Published: (2013)

Approximation by linear methods of classes of $(\psi,\bar\beta)-$differentiable functions.
by: Serdyuk, A. S., et al.
Published: (2013)

On Lebesgue continuity on classes of ш-differentiable functions
by: M. V. Haievskyi
Published: (2014)

Approximation of classes $(\psi,\bar\beta)$-differentiable functions by interpolating trigonometric polynomials
by: Serdyuk, A. S., et al.
Published: (2016)

On Lebesgue inequality of the Vallée-Poussin sums on classes ${C}^{\overline{\psi}}C$
by: Veremiy, M. A., et al.
Published: (2015)

Approximation of classes $\overline{\psi}$-differentiated functions by the Fourier sums
by: Bodra, V. I., et al.
Published: (2015)

On Lebesgue continuity of the Vallée-Poussin sums on classes CψC
by: M. A. Veremii, et al.
Published: (2015)

Greedy algorithms of classes $(\psi,\beta)$-differentiable periodic functions
by: Shkapa, V. V., et al.
Published: (2015)

Approximation of classes of $(\psi,\beta)$-differentiable functions by Rogozinski polynomials
by: Kovalchuk, I. R., et al.
Published: (2017)

The convergence rate of the group $\ varphi $ -deviations in the class of analytic functions $ H ^ \ psi_ \ infty $
by: Veremij, M. A., et al.
Published: (2017)

Upper and lower Lebesgue classes of multivalued functions of two variables
by: O. Karlova, et al.
Published: (2018)

Approximation of classes of ψ-differentiated functions by the Fourier sums
by: V. I. Bodra, et al.
Published: (2015)

Best orthogonal trigonometric approximations of functions from classes $L_{\beta,1}^\psi$
by: Shkapa, V. V., et al.
Published: (2014)

Lebesgue type inequalities for the de la Vallйe Poussin sums and their interpolation analogues on classes of (ψ,β)-differentiable functions
by: V. A. Voitovych, et al.
Published: (2013)

Lebesgue type inequalities for interpolation analogues of Valle Poussin sums on sets of infinitely differentiable functions
by: Voitovych, V. A., et al.
Published: (2015)

Kolmogorov widths of the classes $L_{\beta, p}^\psi$ of periodic functions in the space $L_q$
by: Vlasyk, H. M., et al.
Published: (2017)

Nonlinear approximation of the classes $F_{q,r}^{\psi}$ of functions of several variables in the integral metrics
by: Shidlich, A. L., et al.
Published: (2017)

Estimates of orthoprojective widths of the classes $L_{\beta, p}^\psi$ of periodic functions in the space Lq
by: Vlasyk, G. M., et al.
Published: (2015)

Orthoprotection widths of classes $L_{\beta, p}^\psi$ of periodic functions in the space $L_q$
by: Vlasyk, H. M., et al.
Published: (2015)

Lebesgue type inequalities for interpolation analogues of Valle Poussin sums on sets of infinitely differentiable functions
by: V. A. Voitovych, et al.
Published: (2015)

On the differential properties of continuous functions
by: Diab, F.M.
Published: (1999)

On the solvability of nonlinear ordinary differential equation in grand Lebesgue spaces
by: R. A. Bandaliyev, et al.
Published: (2022)

On the Lebesgue constants
by: A. K. Kushpel
Published: (2019)

On Taylor coefficients of functions of classes H1
by: V. V. Bovsunovska, et al.
Published: (2022)

Construction of a solution of problem on stability of a bar with arbitrary continuous parameters
by: Ju. S. Krutij
Published: (2016)

Algebras of entire symmetric functions on spaces of Lebesgue measurable essentially bounded functions
by: T. V. Vasylyshyn
Published: (2017)

Activities of bar offices and bar associations as economic activity
by: K. I. Apanasenko, et al.
Published: (2023)

Order estimates of functionals in terms of which the best $n$-term approximations of classes ${\cal F}_{q,r}^{\psi}$ are expressed.
by: Shidlich, A. L., et al.
Published: (2014)

The principles of the Bar
by: N. M. Bakaianova
Published: (2016)

Cross Topology and Lebesgue Triples
by: O. O. Karlova, et al.
Published: (2013)

Planar Lebesgue Measure of Exceptional Set in Approximation of Subharmonic Functions
by: Girnyk, M.
Published: (2009)

Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent
by: Akgün, R.
Published: (2011)

Estimates of the group $\varphi$ -deviations of analytic functions
by: Gaevskiy, M. V., et al.
Published: (2015)

Solution of the Kolmogorov-Nikol’skii problem for three-harmonic Poisson integrals on classes $C^{\psi}_{\beta,\infty}$
by: Grabova, U. Z., et al.
Published: (2014)

Estimates for the best $M$-term trigonometric approximations of classes $L_{\beta,p}^\psi$ of periodic multivariable functions in the case of small smoothness in the space $L_q$
by: Pozharska, K. V., et al.
Published: (2017)

Trigonometric Widths of the Nikol&#039;skii–Besov Classes in the Lebesgue Space with Mixed Norm
by: G. Akishev
Published: (2014)

Наближення аналітичних функцій частинними сумами їх рядів Тейлора
by: Гаєвський, М.В., et al.
Published: (2015)