Cover Image

Trigonometric and linear widths for the classes of periodic multivariable functions

We establish the exact-order estimates for the trigonometric widths of Nikol’skii – Besov $B^r_{\infty ,\theta}$ and Sobolev $W^r_{\infty, \alpha} $ classes of periodic multivariable functions in the space $L_q,\; 1 < q < \infty$. The behavior of the linear widths of Nikol’skii – Bes...

Full description

Saved in:

Bibliographic Details
Date:	2017
Main Authors:	Romanyuk, A. S., Романюк, А. С.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 2017
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1726
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

Trigonometric and linear widths for the classes of periodic multivariable functions
by: A. S. Romanjuk
Published: (2017)

Trigonometric and orthoprojection widths of classes of periodic functions of many variables
by: Romanyuk, A. S., et al.
Published: (2009)

Linear Widths of the Besov Classes of Periodic Functions of Many Variables. I
by: Romanyuk, A. S., et al.
Published: (2001)

Linear Widths of the Besov Classes of Periodic Functions of Many Variables. II
by: Romanyuk, A. S., et al.
Published: (2001)

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)

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)

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

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

Trigonometric widths of classes of periodic functions of many variables
by: Derev’yanko, N. V., et al.
Published: (2012)

Kolmogorov widths and bilinear approximations of the classes of periodic functions of one and many variables
by: Romanyuk, A. S., et al.
Published: (2018)

Estimation of the Entropy Numbers and Kolmogorov Widths for the Nikol’skii–Besov Classes of Periodic Functions of Many Variables
by: Romanyuk, A. S., et al.
Published: (2015)

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)

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)

Approximation of classes of functions of many variables by their orthogonal projections onto subspaces of trigonometric polynomials
by: Romanyuk, A. S., et al.
Published: (1996)

Approximation of classes of analytic functions by algebraic polynomials and kolmogorov widths
by: Romanyuk, V. S., et al.
Published: (1996)

On Kolmogorov widths of classes $B^r_{p, \theta}$ of periodic functions of many variables with low smoothness in the space $L_q$
by: Romanyuk, A. S., et al.
Published: (1994)

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

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)

Estimates of the Kolmogorov Widths of Classes of Analytic Functions Representable by Cauchy-Type Integrals. I
by: Romanyuk, V. S., et al.
Published: (2001)

Kolmogorov widths of the Nikol’skii – Besov classes of periodic functions of many variables in the space of quasi-continuous functions
by: Romanyuk , A. S., et al.
Published: (2022)

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)

Trigonometric Approximations and Kolmogorov Widths of Anisotropic Besov Classes of Periodic Functions of Several Variables
by: V. V. Myroniuk
Published: (2014)

Trigonometric Approximations and Kolmogorov Widths of Anisotropic Besov Classes of Periodic Functions of Several Variables
by: Myronyuk, V. V., et al.
Published: (2014)

Approximation of classes of periodic multivariable functions by linear positive operators
by: Bushev, D. M., et al.
Published: (2006)

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

Estimates of the Kolmogorov Widths of Classes of Analytic Functions Representable by Cauchy-Type Integrals. II
by: Romanyuk, V. S., et al.
Published: (2001)

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

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)

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 estimates of approximation characteristics of the Besov classes of periodic functions of many variables
by: Romanyuk, A. S., et al.
Published: (1997)

Estimates of some approximating characteristics of the classes of periodic functions of one and many variables
by: Romanyuk, A. S., et al.
Published: (2019)

On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials
by: Serdyuk, A. S., et al.
Published: (1995)

The best M-term trigonometric approximations of the classes of periodic multivariate functions with bounded generalized derivative in the space L_q
by: K. V. Shvai
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)

On the Problem of Linear Widths of the Classes Brp,θ of Periodic Functions of Many Variables
by: A. S. Romanjuk
Published: (2014)

Approximation by interpolation trigonometric polynomials on classes of periodic analytic functions
by: Serdyuk, A. S., et al.
Published: (2012)

Widths and best approximations for classes of convolutions of periodic functions
by: Serdyuk, A. S., et al.
Published: (1999)

Estimates of the best orthogonal trigonometric approximations and orthoprojective widths of the classes of periodic functions of many variables in a uniform metric
by: H. M. Vlasyk, et al.
Published: (2019)