Cover Image

Kolmogorov widths of the classes $B^{\Omega}_{p, \theta}$ of periodic functions of many variables in the space $L_q$

We obtain exact-order estimates for the Kolmogorov widths of the classes $B^{\Omega}_{p, \theta}$ of periodic functions of many variables in the space $L_q$ for $1 ≤ p, q ≤ ∞$.

Saved in:

Bibliographic Details
Date:	2012
Main Authors:	Solich, K. V., Соліч, К. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2012
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2668
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

Linear widths of the classes $B^{\Omega}_{p, \theta}$ of periodic functions of many variables in the space $L_q$
by: Fedunyk, O. V., et al.
Published: (2006)

Best bilinear approximations of the classes $S^{\Omega}_{p, \theta}B$ of periodic functions of many variables
by: Solich, K. V., et al.
Published: (2011)

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)

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)

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)

Approximation of the classes $B^{\Omega}_{p, \theta}$ of periodic functions of many variables by Fourier sums in the space $L_p$ with $p = 1, \infty$
by: Myronyuk, V. V., et al.
Published: (2012)

Estimations of linear widths of the classes BΩp,θ of periodic functions of many variables in the space Lq
by: N. V. Derevianko
Published: (2014)

Kolmogorov widths of the anisotropic Besov classes of periodic functions of many variables
by: V. V. Myroniuk
Published: (2016)

Kolmogorov widths of the anisotropic Besov classes of periodic functions of many variables
by: Myronyuk, V. V., et al.
Published: (2016)

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)

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

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

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

Estimations of linear widths of the classes HΩp periodic functions of many variables in the space Lq
by: N. V. Derevianko
Published: (2014)

Best approximation of periodic functions of several variables from the classes $MB^{\omega}_{p,\theta}$
by: Stasyuk, S. A., et al.
Published: (2012)

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)

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)

Kolmogorov widths of the classes LΨ (β,ρ) of periodic functions in the space Lq
by: H. M. Vlasyk
Published: (2017)

Estimates for the approximate characteristics of the classes $B_{p, \theta}^{\Omega}$ of periodic functions of two variables with given majorant of mixed moduli of continuity
by: Konohrai, A. F., et al.
Published: (2011)

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

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)

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

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)

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)

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)

Linear and Kolmogorov widths of the classes BΩp,θ of periodic functions of one and several variables
by: M. V. Hembarskyi, et al.
Published: (2020)

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)

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

Kolmogorov widths of the Nikol&#039;skii–Besov classes of periodic functions of many variables in the space of quasicontinuous functions
by: A. S. Romaniuk, et al.
Published: (2022)

Estimation of the Entropy Numbers and Kolmogorov Widths for the Nikol&#039;skii–Besov Classes of Periodic Functions of Many Variables
by: A. S. Romanjuk
Published: (2015)

Bilinear approximations of the classes S(Щ (с,и))B of periodic functions of many variables
by: K. V. Solich, et al.
Published: (2017)

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)

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)

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)

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)

Orthoprojective widths of classes BΩ(ρ,θ) of periodis functions of variables in the space Lq
by: N. V. Derevianko
Published: (2013)

Widths of the classes BΩr,θ of periodic functions of many variables in the space B1,1
by: M. V. Hembarskyi, et al.
Published: (2018)

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)

Orthoprojective widths of classes Lшв,p of periodic functions in the space Lq
by: H. M. Vlasyk
Published: (2015)