Buchumschlag

Approximation of Functions of Many Variables from the Classes $B_{p,θ}^{Ω} (ℝ^d)$ By Entire Functions of Exponential Type

We obtain the decomposition representation of the norm of functions of many variables from the spaces $B_{p,θ}^{Ω} (ℝ^d)$ and establish the exact order estimates for the approximations of functions from the unit balls of these spaces by entire functions of exponential type in the space $L_q (ℝ^d)$....

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Datum:	2014
Hauptverfasser:	Myronyuk, V. V., Миронюк, В. В.
Format:	Artikel
Sprache:	Ukrainisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2014
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/2127
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

Approximations of classes $B^{Ω}_{p,θ}$ of functions of many variables by entire functions in the space $L_q (R^d)$
von: Yanchenko, S. Ya., et al.
Veröffentlicht: (2010)

Approximation characteristics of the classes $B_{p,θ}^{Ω}$ of periodic functions of many variables
von: Stasyuk, S. A., et al.
Veröffentlicht: (2006)

Approximation of the classes $S^r_{p,θ}B(\mathbb{R}^d)$ of functions of many variables by entire functions of a special form
von: Yanchenko, S. Ya., et al.
Veröffentlicht: (2010)

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)

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

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)

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

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

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

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

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)

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 functions from isotropic classes BΩ(1,θ)(Rd) to integer functions of exponential type
von: V. V. Myroniuk
Veröffentlicht: (2013)

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

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)

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)

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)

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

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

On a class of entire functions of many variables
von: Geche, F. I., et al.
Veröffentlicht: (1966)

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)

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

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

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

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

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

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)

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

Best approximations of the classes $B_{p,\,\theta}^{r}$ of periodic functions of many variables in uniform metric
von: Romanyuk, A. S., et al.
Veröffentlicht: (2006)

On the approximation of functions by polynomials and entire functions of exponential type
von: R. M. Trigub
Veröffentlicht: (2019)

On the approximation of functions by polynomials and entire functions of exponential type
von: Trigub, R. M., et al.
Veröffentlicht: (2019)

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)

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

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

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

Best $m$-term trigonometric approximation for the classes $B^r_{p,θ}$ of functions of low smoothness
von: Stasyuk, S. A., et al.
Veröffentlicht: (2010)

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

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