Cover Image

Best $n$-Term Approximations by Λ-Methods in the Spaces $S_ϕ^p$

We determine the exact values of the upper bounds of $n$-term approximations of $q$-ellipsoids by Λ-methods in the spaces $S_ϕ^p$ in the metrics of the spaces $S_ϕ^p$.

Saved in:

Bibliographic Details
Date:	2003
Main Authors:	Stepanets, O. I., Shydlich, A. L., Степанець, О. І., Шидліч, А. Л.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2003
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3985
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

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

Найкращі n-членні наближення Λ-методами у просторах Spϕ
by: Степанець, О.І., et al.
Published: (2003)

Saturation of the linear methods of summation of Fourier series in the spaces S pφ
by: Shydlich, A. L., et al.
Published: (2008)

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

Order equalities for some functionals and their application to the estimation of the best $n$-term approximations and widths
by: Shydlich, A. L., et al.
Published: (2009)

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

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

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

Order estimates of functionals in terms of which the best n-term approximations of classes Fш(q,r) are expressed
by: A. L. Shydlich
Published: (2014)

On Saturation of Linear Summation Methods for Fourier Series in the Spaces $S_{\varphi} ^p$
by: Shydlich, A. L., et al.
Published: (2004)

Approximation of periodic functions by constants in the metric spaces $ϕp(L)$
by: Pichugov, S. A., et al.
Published: (1994)

Best approximation by ridge functions in $L_p$-spaces
by: Maiorov, V. E., et al.
Published: (2010)

Problems of approximation theory in linear spaces
by: Stepanets, O. I., et al.
Published: (2006)

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

Linear approximation methods and the best approximations of the Poisson integrals of functions from the classes $H_{ω_p}$ in the metrics of the spaces $L_p$
by: Serdyuk, A. S., et al.
Published: (2010)

Approximation of Classes $B_{p,θ}^r$ by Linear Methods and Best Approximations
by: Romanyuk, A. S., et al.
Published: (2002)

Равномерные оценки (λ, φ)-сильных интегральных средних уклонений операторов Фурье
by: Пачулиа, Н.Л.
Published: (1990)

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

Best Linear Methods of Approximation of Functions of the Hardy Class $H_p$
by: Savchuk, V. V., et al.
Published: (2003)

On the uniqueness of elements of the best approximation and the best one-sided approximation in the space $L_1$
by: Babenko, V. F., et al.
Published: (1994)

On the best approximation of functions of $n$ variables
by: Korneichuk, N. P., et al.
Published: (1999)

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

Best M-term trigonometric approximations of the classes of periodic functions of many variables in the space Lq
by: Konohrai, A. F., et al.
Published: (2008)

Best linear methods of approximation and optimal orthonormal systems of the Hardy space
by: Savchuk, V. V., et al.
Published: (2008)

Best $m$-term trigonometric approximation for the classes $B^r_{p,θ}$ of functions of low smoothness
by: Stasyuk, S. A., et al.
Published: (2010)

Best $M$-Term Trigonometric Approximations of the Classes $B_{p,θ}^Ω$ of Functions of Many Variables
by: Stasyuk, S. A., et al.
Published: (2002)

Estimates of the Best $M$-Term Trigonometric Approximations of the Classes $L_{β, p}^{ψ}$ of Periodic Functions of Many Variables in the Space $L_q$
by: Konsevich, N. M., et al.
Published: (2000)

Best approximation by ridge functions in Lp-spaces
by: Maiorov, V.E.
Published: (2010)

Best $M$-Term trigonometric approximations of the classes $B^{Ω}_{p,θ}$ of periodic functions of many variables
by: Voitenko, S. P., et al.
Published: (2009)

Asymptotic behavior of the best approximations for the functions in $L_p$
by: Pichugov, S. A., et al.
Published: (1993)

Estimates of the best m-term trigonometric approximations of classes of analytic functions
by: A. S. Serdiuk, et al.
Published: (2015)

Estimation of the Best Approximations for the Generalized Derivative in Banach Spaces
by: Радзієвська, Олена, et al.
Published: (2021)

Estimation of the Best Approximations for the Generalized Derivative in Banach Spaces
by: O. I. Radziyevska, et al.
Published: (2021)

Best approximations of periodic functions in generalized lebesgue spaces
by: Chaichenko, S. O., et al.
Published: (2012)

Best approximation of reproducing kernels of spaces of analytic functions
by: Savchuk, V. V., et al.
Published: (2004)

Best M-term orthogonal trigonometric approximations of the classes B Ωp,θ of periodic functions of many variables
by: Stasyuk, S. A., et al.
Published: (2008)

On the Best Linear Approximation Method for Hölder Classes
by: Skorokhodov, D. S., et al.
Published: (2015)

Approximation by fourier sums and best approximations on classes of analytic functions
by: Serdyuk, A. S., et al.
Published: (2000)

Approximative characteristics of modular Orlicz spaces
by: S. O. Chaichenko, et al.
Published: (2018)

λ-Almost summable spaces
by: E. Savaю
Published: (2020)