Cover Image

Approximation Properties of the de la Vallée-Poussin Method

We present a survey of results concerning the approximation of classes of periodic functions by the de la Vallée-Poussin sums obtained by various authors in the 20th century.

Saved in:

Bibliographic Details
Date:	2002
Main Authors:	Rukasov, V. I., Stepanets, O. I., Рукасов, В. И., Степанец, А. И.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2002
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4150
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 Continuous Functions by de la Vallée-Poussin Operators
by: Rukasov, V. I., et al.
Published: (2003)

Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums
by: Rukasov, V. I., et al.
Published: (2003)

Approximation of Continuous Functions by de La Vallee-Poussin Operators
by: Rukasov, V. I., et al.
Published: (2005)

Approximation of classes of continuous functions by generalized de la Vallée-Poussin sums
by: Novikov, O. A., et al.
Published: (1995)

Approximation of Continuous Functions of Low Smoothness by de la Vallee-Poussin Operators
by: Rukasov, V. I., et al.
Published: (2005)

Approximation of Analytic Periodic Functions by de la Vallée-Poussin Sums
by: Rukasov, V. I., et al.
Published: (2002)

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

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 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 Poisson Integrals by de la Vallée Poussin Sums
by: Serdyuk, A. S., et al.
Published: (2004)

Approximation of the classes $C_{β}^{ψ} H_{ω}$ by generalized de la Valiée-Poussin sums
by: Novikov, O. A., et al.
Published: (1997)

Approximation of Poisson integrals by de la Valleé-Poussin sums in uniform and integral metrics
by: Serdyuk, A. S., et al.
Published: (2010)

Estimates for the Approximations of the Classes of Analytic Functions by Interpolation Analogs of the De-La-Vallée–Poussin Sums
by: Voitovych, V. A., et al.
Published: (2014)

Approximate Solution of the de la Vallée Poussin Problem for a Differential Equation of Neutral Type by the Projection-Iterative Method
by: Gabrel', O. M., et al.
Published: (2003)

Lebesgue-type inequalities for the de la Vallée-poussin sums on sets of entire functions
by: Musienko, A. P., et al.
Published: (2013)

Best “Continuous” $n$-Term Approximations in the Spaces $S_\phi ^p$
by: Rukasov, V. I., et al.
Published: (2003)

Approximate properties of the Zygmund method
by: Stepanets, O. I., et al.
Published: (1999)

Spaces $S^p$ with Nonsymmetric Metric
by: Rukasov, V. I., et al.
Published: (2003)

Approximation of the classes MBΩ(ρ,θ) in a uniform metrics by the Vallée-Poussin sums
by: S. A. Stasjuk
Published: (2014)

Best n-Term Approximations in Spaces with Nonsymmetric Metric
by: Rukasov, V. I., et al.
Published: (2003)

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

Estimates for the Approximations of the Classes of Analytic Functions by Interpolation Analogs of the De-La-Vallйe–Poussin Sums
by: V. A. Voitovych
Published: (2014)

Lebesgue-type inequalities for the de la Valee-Poussin sums on sets of analytic functions
by: Musienko, A. P., et al.
Published: (2013)

Best $n$-Term Approximations with Restrictions
by: Stepanets, O. I., et al.
Published: (2005)

Inverse theorems on approximation of periodic functions
by: Stepanets, O. I., et al.
Published: (1995)

Approximation Characteristics of Spaces $S_\phi ^p$
by: Stepanets, O. I., et al.
Published: (2001)

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

Lebesgue-type inequalities for the de la Valee-Poussin sums on sets of analytic functions
by: A. P. Musiienko, et al.
Published: (2013)

Extremal Problems of Approximation Theory in Linear Spaces
by: Stepanets, O. I., et al.
Published: (2003)

Approximation of cauchy-type integrals in Jordan domains
by: Stepanets, O. I., et al.
Published: (1993)

Best Approximations of $q$-Ellipsoids in Spaces $S_{ϕ}^{p,μ}$
by: Stepanets, O. I., et al.
Published: (2004)

Approximation Characteristics of the Spaces $S_p^{ϕ}$ in Different Metrics
by: Stepanets, O. I., et al.
Published: (2001)

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

Аппроксимативные свойства метода Валле Пуссена
by: Степанец, А.И., et al.
Published: (2002)

О приближении суммами Фурье треугольного вида на классах непрерывных периодических функций двух переменных
by: Степанец, А.И., et al.
Published: (1983)

Пространства Sp с несимметричной метрикой
by: Степанец, А.И., et al.
Published: (2003)

Lebesgue-type inequalities for the de la Vallйe-poussin sums on sets of entire functions
by: A. P. Musiienko, et al.
Published: (2013)

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)

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