Buchumschlag

Best approximations of the classes $B_{p,\,\theta}^{r}$ of periodic functions of many variables in uniform metric

We obtain estimates exact in order for the best approximations of the classes $B_{\infty,\,\theta}^{r}$ of periodic functions of two variables in the metric of $L_{\infty}$ by trigonometric polynomials whose spectrum belongs to a hyperbolic cross. We also investigate the best approximations of the c...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Datum:	2006
Hauptverfasser:	Romanyuk, A. S., Романюк, А. С.
Format:	Artikel
Sprache:	Russisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2006
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/3541
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Ähnliche Einträge

The best trigonometric and bilinear approximations for functions of many variables from the classes $B^r_{p, \theta}$. II
von: Romanyuk, A. S., et al.
Veröffentlicht: (1993)

The best trigonometric and bilinear approximations of the functions of many variables from the classes $B_{p,\theta}^r$. I
von: Romanyuk, A.S., et al.
Veröffentlicht: (1992)

Estimates for the best bilinear approximations of the classes $B^r_{p,\theta}$ and singular numbers of integral operators
von: Romanyuk, A. S., et al.
Veröffentlicht: (2016)

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

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

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

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

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

Best trigonometric and bilinear approximations for the Besov classes of functions of many variables
von: Romanyuk, A. S., et al.
Veröffentlicht: (1995)

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

The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables
von: Romanyuk, A. S., et al.
Veröffentlicht: (1993)

Approximation of the Classes $B_{p,θ}^Ω$ of Periodic Functions of Many Variables in Uniform Metric
von: Stasyuk, S. A., et al.
Veröffentlicht: (2002)

Entropy numbers and the widths of the classes $B_{p,θ}^r$ of periodic functionsof many variables
von: Romanyuk, A. S., et al.
Veröffentlicht: (2016)

On the Problem of Linear Widths of the Classes $B_{p,θ}^r$ of Periodic Functions of Many Variables
von: Romanyuk, A. S., et al.
Veröffentlicht: (2014)

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

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

Estimates for Approximation Characteristics of the Besov Classes $B_ r^{p,θ}$ of Periodic Functions of Many Variables in the Space $L_q. I$
von: Romanyuk, A. S., et al.
Veröffentlicht: (2001)

Best approximations for classes of periodic functions of many variables with bounded dominating mixed derivative
von: Pozharska, K., et al.
Veröffentlicht: (2024)

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

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

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

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

Trigonometric widths of the classes $B_{p,θ}^ r$ of functions of many variables in the space $L_q$
von: Romanyuk, A. S., et al.
Veröffentlicht: (1998)

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

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

Best approximations for classes of periodic functions of many variables with bounded dominating mixed derivative
von: K. Pozharska, et al.
Veröffentlicht: (2024)

Asymptotic estimates for the best trigonometric and bilinear approximations of classes of functions of several variables
von: Romanyuk, A. S., et al.
Veröffentlicht: (2010)

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

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

Best orthogonal trigonometric approximations of the classes $B^{Ω}_{p,θ}$ of periodic functions of many variables
von: Voitenko, S. P., et al.
Veröffentlicht: (2009)

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

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

Best $M$-Term trigonometric approximations of the classes $B^{Ω}_{p,θ}$ of periodic functions of many variables
von: Voitenko, S. P., et al.
Veröffentlicht: (2009)

Best Approximations and Kolmogorov and Trigonometric Widths of the Classes $B_{p,θ}^{Ω}$ of Periodic Functions of Many Variables
von: Stasyuk, S. A., et al.
Veröffentlicht: (2004)

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

Kolmogorov widths of the classes $B^{\Omega}_{p, \theta}$ of periodic functions of many variables in the space $L_q$
von: Solich, K. V., et al.
Veröffentlicht: (2012)

Estimates of approximation characteristics and properties of operators of the best approximation for the classes of periodic functions in the space $B_{1,1}$
von: Romanyuk, A. S., et al.
Veröffentlicht: (2021)

Approximation of classes of periodic functions in one and many variables from the Nikol’skii – Besov and Sobolev spaces
von: Romanyuk, A. S., et al.
Veröffentlicht: (2022)

Best M-term orthogonal trigonometric approximations of the classes B Ωp,θ of periodic functions of many variables
von: Stasyuk, S. A., et al.
Veröffentlicht: (2008)

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