Cover Image

Approximation of the Classes $H_p^{Ω}$ of Periodic Functions of Many Variables in the Space $L_p$

We establish upper estimates for the approximation of the classes $H_p^{Ω}$ of periodic functions of many variables by polynomials constructed by using the system obtained as the tensor product of the systems of functions of one variable. These results are then used to establish the exact-order esti...

Full description

Saved in:

Bibliographic Details
Date:	2014
Main Authors:	Derev’yanko, N. V., Дерев'янко, Н. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2014
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2165
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 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 characteristics of the classes $B_{p,θ}^{Ω}$ of periodic functions of many variables
by: Stasyuk, S. A., et al.
Published: (2006)

Наближення класів HΩp періодичних функцій багатьох змінних у просторі Lp
by: Дерев’янко, Н.В.
Published: (2014)

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 Linear Methods of Approximation of Functions of the Hardy Class $H_p$
by: Savchuk, V. V., et al.
Published: (2003)

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

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)

Linear approximation methods and the best approximations of the Poisson integrals of functions from the classes $H_{ω_p}$ in the metrics of the spaces $L_p$
by: Serdyuk, A. S., et al.
Published: (2010)

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

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)

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 Trigonometric Approximations of the Classes $B_{p,θ}^Ω$ of Functions of Many Variables
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)

On the embedding of Waterman class in the class Hpω
by: Goginava, U., et al.
Published: (2005)

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)

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)

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)

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)

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

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)

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

Estimation of the best approximation of periodic functions of two variables by an “angle” in the metric of $L_p$
by: Konopovich, T. O., et al.
Published: (2004)

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

Approximation of some classes of periodic functions of many variables
by: Tovkach, R. V., et al.
Published: (2010)

Approximation of classes of analytic functions by Fourier sums in the metric of the space $L_p$
by: Serdyuk, A. S., et al.
Published: (2005)

Approximation of compressions of periodic functions in the space $L_p,\; p < 1$
by: Pichugov, S. A., et al.
Published: (1995)

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

Approximation by interpolation trigonometric polynomials in metrics of the spaces $L_p$ on the classes of periodic entire functions
by: Serdyuk, A. S., et al.
Published: (2019)

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)

On a boundary properties of functions from a class Hp(p ≥ 1)
by: U. Hrabova, et al.
Published: (2022)

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)

On the approximation by Chebyshev splines in the metric of $L_p, p > 0$
by: Kryakin, Yu. V., et al.
Published: (1998)

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)

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)