Cover Image

Approximation of Classes $B_{p,θ}^r$ by Linear Methods and Best Approximations

We investigate problems related to the approximation by linear methods and the best approximations of the classes $B_{p,{\theta }}^r ,\; 1 ≤ p ≤ ∞$ in the space $L_{∞}$.

Saved in:

Bibliographic Details
Date:	2002
Main Authors:	Romanyuk, A. S., Романюк, А. С.
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/4106
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

Estimates for the best bilinear approximations of the classes $B^r_{p,\theta}$ and singular numbers of integral operators
by: Romanyuk, A. S., et al.
Published: (2016)

Best approximations of the classes $B_{p,\,\theta}^{r}$ of periodic functions of many variables in uniform metric
by: Romanyuk, A. S., et al.
Published: (2006)

The best trigonometric and bilinear approximations for functions of many variables from the classes $B^r_{p, \theta}$. II
by: Romanyuk, A. S., et al.
Published: (1993)

On the Problem of Linear Widths of the Classes $B_{p,θ}^r$ of Periodic Functions of Many Variables
by: Romanyuk, A. S., et al.
Published: (2014)

The best trigonometric and bilinear approximations of the functions of many variables from the classes $B_{p,\theta}^r$. I
by: Romanyuk, A.S., et al.
Published: (1992)

Estimates for Approximation Characteristics of the Besov Classes $B_ r^{p,θ}$ of Periodic Functions of Many Variables in the Space $L_q. I$
by: Romanyuk, A. S., et al.
Published: (2001)

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)

On Estimates of the Kolmogorov Widths of the Classes $B_{p,θ}^r$ in the Space $L_q$
by: Romanyuk, A. S., et al.
Published: (2001)

Entropy numbers and the widths of the classes $B_{p,θ}^r$ of periodic functionsof many variables
by: Romanyuk, A. S., et al.
Published: (2016)

Trigonometric widths of the classes $B_{p,θ}^ r$ of functions of many variables in the space $L_q$
by: Romanyuk, A. S., et al.
Published: (1998)

Best Bilinear Approximations for the Classes of Functions of Many Variables
by: Romanyuk, A. S., et al.
Published: (2013)

Best bilinear approximations of functions from Nikolskii-Besov classes
by: Romanyuk, A. S., et al.
Published: (2012)

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)

Best trigonometric and bilinear approximations for the Besov classes of functions of many variables
by: Romanyuk, A. S., et al.
Published: (1995)

Asymptotic estimates for the best trigonometric and bilinear approximations of classes of functions of several variables
by: Romanyuk, A. S., et al.
Published: (2010)

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

Estimates of approximation characteristics and properties of operators of the best approximation for the classes of periodic functions in the space $B_{1,1}$
by: Romanyuk, A. S., et al.
Published: (2021)

On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables
by: Romanyuk, A. S., et al.
Published: (1995)

The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables
by: Romanyuk, A. S., et al.
Published: (1993)

Best Approximations and Kolmogorov and Trigonometric Widths of the Classes $B_{p,θ}^{Ω}$ of Periodic Functions of Many Variables
by: Stasyuk, S. A., et al.
Published: (2004)

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

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)

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)

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

Approximation of Functions of Many Variables from the Classes B_(p,θ)
by: V. V. Myroniuk
Published: (2014)

Approximating characteristics of the classes of periodic multivariate functions in the space $B_{∞,1}$
by: Romanyuk, A. S., et al.
Published: (2019)

Approximation characteristics of the classes $B_{p,θ}^{Ω}$ of periodic functions of many variables
by: Stasyuk, S. A., et al.
Published: (2006)

Approximation of the classes $S^r_{p,θ}B(\mathbb{R}^d)$ of functions of many variables by entire functions of a special form
by: Yanchenko, S. Ya., et al.
Published: (2010)

Approximation of the Classes $B_{p,θ}^Ω$ of Periodic Functions of Many Variables in Uniform Metric
by: Stasyuk, S. A., et al.
Published: (2002)

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)

Approximative characteristics of the Nikol’skii – Besov classes of functions $S_{1, θ}^r B(\mathbb{R}^d)$
by: Radchenko, O. Ya., et al.
Published: (2026)

On the best approximation of the HЁolder classes by linear methods
by: D. S. Skorokhodov
Published: (2014)

On the Best Linear Approximation Method for Hцlder Classes
by: D. S. Skorokhodov
Published: (2015)

Approximations of classes $B^{Ω}_{p,θ}$ of functions of many variables by entire functions in the space $L_q (R^d)$
by: Yanchenko, S. Ya., et al.
Published: (2010)

Approximation of classes of periodical functions of many variables
by: Romanyuk , A. S., et al.
Published: (1992)

Approximation of Functions of Many Variables from the Classes $B_{p,θ}^{Ω} (ℝ^d)$ By Entire Functions of Exponential Type
by: Myronyuk, V. V., et al.
Published: (2014)

Best linear methods for the approximation of functions of the Bergman class by algebraic polynomials
by: Savchuk, V. V., et al.
Published: (2006)

Approximative characteristics of the isotropic classes of periodic functions of many variables
by: Romanyuk, A. S., et al.
Published: (2009)

Estimates for approximative characteristics of classes Sr(p,θ)B(Rd) of functions in the uniform metric
by: Ya. Yanchenko
Published: (2013)

Approximations of the classes MB(r)_(p,)
by: S. A. Stasjuk
Published: (2015)