Cover Image

Approximation characteristics of the classes $B_{p,θ}^{Ω}$ of periodic functions of many variables

We obtain exact order estimates for the approximation of the classes $B_{p,θ}^{Ω}$ of periodic functions of many variables in the space $L_q$ by using operators of orthogonal projection and linear operators satisfying certain conditions.

Saved in:

Bibliographic Details
Date:	2006
Main Authors:	Stasyuk, S. A., Fedunyk, O. V., Стасюк, С. А., Федуник, О. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2006
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3486
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

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)

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

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)

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

Approximate characteristics of the classes BΩ,p,θ of periodic functions of one variable and many ones
by: M. V. Hembarskyi, et al.
Published: (2019)

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)

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)

Approximation of the BΩ(1,θ) of periodic functions of multiple variables in the L∞
by: O. V. Fedunyk-Yaremchuk
Published: (2014)

Estimates of approximation characteristics of classes BΩ(p,θ) of periodic functions of several variables with given majorant of the mixed modulo of continuity
by: A. F. Konohrai, et al.
Published: (2013)

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

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)

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)

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)

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)

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)

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

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)

Approximation of the Classes $H_p^{Ω}$ of Periodic Functions of Many Variables in the Space $L_p$
by: Derev’yanko, N. V., et al.
Published: (2014)

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)

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)

Estimates of orthoprojection widths of classes BΩ∞,θ of periodic functions of several variables with given majorant of the mixed moduli of continuity
by: A. F. Konohrai, 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)

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

Апроксимативні характеристики класів BΩp,θ періодичних функцій багатьох змінних
by: Стасюк, С.А., et al.
Published: (2006)

Approximation of the Classes HpΩ of Periodic Functions of Many Variables in the Space Lp
by: N. V. Derevianko
Published: (2014)

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)

Estimates of approximative characteristics of the classes BЩp,и of periodic functions of many variables with given majorant of mixed continuity moduli in the space L∞
by: O. V. Fedunyk-Yaremchuk, et al.
Published: (2017)

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

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)

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

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

Estimates for the entropy numbers of the classes $B_{p,θ}^{Ω}$ of periodic multivariate functions in the uniform metric
by: Pozhars’ka, K. V., et al.
Published: (2018)

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)

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

Entropy numbers and the widths of the classes Brp,θ of periodic functions of many variables
by: A. S. Romanjuk
Published: (2016)

Best $m$-term approximation of the classes $B ^{r}_{\infty, \theta}$ of functions of many variables by polynomials in the haar system
by: Stasyuk, S. A., et al.
Published: (2011)

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)