Cover Image

On Estimates of the Kolmogorov Widths of the Classes $B_{p,θ}^r$ in the Space $L_q$

We obtain an order estimate for the Kolmogorov width of the Besov classes $B_{p,{\theta }}^r$ of periodic functions of many variables in the space $L_q$ for $2 &lt; p &lt; q &lt; ∞$, which complements the result obtained earlier by the author.

Saved in:

Bibliographic Details
Date:	2001
Main Authors:	Romanyuk, A. S., Романюк, А. С.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2001
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4320
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 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 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)

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)

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)

Kolmogorov widths of the classes $B^{\Omega}_{p, \theta}$ of periodic functions of many variables in the space $L_q$
by: Solich, K. 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)

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

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

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

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

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)

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

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)

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 and entropy numbers in the Orlich spaces with the Luxembourg norm
by: Romanyuk, V. S., et al.
Published: (2017)

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

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 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)

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)

Estimates of orthoprojective widths of the classes Lβ, p Ψ of periodic functions in the space Lq
by: H. M. Vlasyk
Published: (2015)

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)

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

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

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

Linear widths of classes SΩp,θB of periodic functions of several variables
by: N. V. Derevianko, et al.
Published: (2015)

Estimates of the Kolmogorov widths for classes of infinitely differentiable periodic functions
by: Serdyuk, A. S., et al.
Published: (1997)

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)

Estimates from below for Kolmogorov widths in classes of Poisson integral
by: A. S. Serdiuk, et al.
Published: (2013)

Approximating Characteristics of the Classes $L_{β,p}^{ψ}$ of Periodic Functions in the Space $L_q$
by: Shkapa, V. V., et al.
Published: (2015)

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)

On the $L_p -L_q$- estimates for the solutions of certain hyperbolic equations
by: Markovskii, A. I., et al.
Published: (1993)

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

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

Estimates of orthoprojection widths of classes BΩ(p,θ) of periodic functions of several variables with given majorant of mixed moduli of continuity
by: A. F. Konohrai, et al.
Published: (2014)

О колмогоровских поперечниках классов Bʳp,θ периодических функций многих переменных малой гладкости в пространстве Lq
by: Романюк, А.С.
Published: (1994)