Cover Image

Best $M$-Term trigonometric approximations of the classes $B^{Ω}_{p,θ}$ of periodic functions of many variables

We obtain exact order estimates for the best $M$-term trigonometric approximations of the classes $B^{Ω}_{p,θ}$ of periodic functions of many variables in the space $L_q$.

Saved in:

Bibliographic Details
Date:	2009
Main Authors:	Voitenko, S. P., Войтенко, С. П.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2009
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3091
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

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

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 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)

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

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)

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

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)

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 trigonometric and bilinear approximations for the Besov classes of 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)

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)

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)

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

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)

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)

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)

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)

Estimates of the best m-term trigonometric approximations of classes of analytic functions
by: A. S. Serdiuk, et al.
Published: (2015)

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 Orthogonal Trigonometric Approximations of Classes of Functions of Many Variables $L^{ψ}_{β, p}$
by: Konsevich, N. M., et al.
Published: (2001)

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)

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

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)

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

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

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

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 the best $m$-term trigonometric and orthogonal trigonometric approximations of functions from the classes $L^{Ψ}_{β,ρ}$
by: Fedorenko, A. S., et al.
Published: (1999)

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

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

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

The Best $m$-Term Trigonometric Approximations of the Classes $L_{\beta ,p}^\Psi$ in Uniform Metric
by: Fedorenko, A. S., et al.
Published: (2004)

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

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

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)

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)