Buchumschlag

Estimation of the best approximation of periodic functions of two variables by an “angle” in the metric of $L_p$

We obtain upper bounds in terms of Fourier coefficients for the best approximation by an “angle” and for norms in the metric of $L_p$ for functions of two variables defined by trigonometric series with coefficients such that $a_{l_1 l_2} → 0$ as $l_1 + l_2 → ∞$ and $$\mathop \sum \limits_{k_1 = 0}^...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Datum:	2004
Hauptverfasser:	Konopovich, T. O., Конопович, Т. О.
Format:	Artikel
Sprache:	Ukrainisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2004
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/3834
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

Best approximation by ridge functions in $L_p$-spaces
von: Maiorov, V. E., et al.
Veröffentlicht: (2010)

Asymptotic behavior of the best approximations for the functions in $L_p$
von: Pichugov, S. A., et al.
Veröffentlicht: (1993)

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 $L_p$
von: Serdyuk, A. S., et al.
Veröffentlicht: (2010)

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

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

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)

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)

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

On the best approximation of periodic functions of two variables by polynomial splines
von: Korneichuk, N. P., et al.
Veröffentlicht: (2000)

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)

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

Best approximation by ridge functions in Lp-spaces
von: Maiorov, V.E.
Veröffentlicht: (2010)

Estimate for the Best Approximation of Summable Functions of Two Variables in Terms of Fourier Coefficients
von: Kononovych, T. O., et al.
Veröffentlicht: (2004)

Estimates of the Best $M$-Term Trigonometric Approximations of the Classes $L_{β, p}^{ψ}$ of Periodic Functions of Many Variables in the Space $L_q$
von: Konsevich, N. M., et al.
Veröffentlicht: (2000)

Estimates for the best approximations and approximation by Fourier sums of classes of convolutions of periodic functions of not high smoothness in integral metrics
von: T. A. Stepaniuk
Veröffentlicht: (2014)

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)

Order Estimates for the Best Approximations and Approximations by Fourier Sums in the Classes of Convolutions of Periodic Functions of Low Smoothness in the Uniform Metric
von: A. S. Serdiuk, et al.
Veröffentlicht: (2014)

Order Estimates for the Best Approximations and Approximations by Fourier Sums in the Classes of Convolutions of Periodic Functions of Low Smoothness in the Uniform Metric
von: Serdyuk, A. S., et al.
Veröffentlicht: (2014)

Multiple modules of continuity and the best approximations of periodic functions in metric spaces
von: Pichugov, S. A., et al.
Veröffentlicht: (2018)

On estimation of the uniform approximation error by interpolating multilinear spline with $l_p$ distances
von: Zhu, Laiyi, et al.
Veröffentlicht: (2024)

Approximation by interpolation trigonometric polynomials in metrics of the spaces Lp on the classes of periodic entire functions
von: A. S. Serdiuk, et al.
Veröffentlicht: (2019)

Approximation of periodic functions by constants in the metric spaces $ϕp(L)$
von: Pichugov, S. A., et al.
Veröffentlicht: (1994)

Estimations of the Best Approximations for the Classes of Infinitely Differentiable Functions in Uniform and Integral Metrics
von: A. S. Serdiuk, et al.
Veröffentlicht: (2014)

Estimations of the Best Approximations for the Classes of Infinitely Differentiable Functions in Uniform and Integral Metrics
von: Serdyuk, A. S., et al.
Veröffentlicht: (2014)

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

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)

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

Limiting theorems for the best polynomial approximations in $L_\infty$ metrics
von: Ganzburg , M. I., et al.
Veröffentlicht: (1991)

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

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)

On the Approximation by Modified Interpolation Polynomials in Spaces $L_p$
von: Metelichenko, A.B., et al.
Veröffentlicht: (2004)

Lower bound for the best approximations of periodic summable functions of two variables and their conjugates in terms of Fourier coefficients
von: Kononovych, T. O., et al.
Veröffentlicht: (2008)

Best Orthogonal Trigonometric Approximations of Classes of Functions of Many Variables $L^{ψ}_{β, p}$
von: Konsevich, N. M., 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)

Best Approximation in the Integral Metric of a Linear Combination of Periodic Functions of Different Parity
von: Сорич, Віктор, et al.
Veröffentlicht: (2024)

Estimates for bilinear approximations of the classes TeX of periodic functions of two variables
von: Solich, K. V., et al.
Veröffentlicht: (2012)

On the best approximation of functions of $n$ variables
von: Korneichuk, N. P., et al.
Veröffentlicht: (1999)

On rational functions of the best nonsymmetric approximations in integral metrics
von: Polyakov, O. V., et al.
Veröffentlicht: (2012)

Estimates of the best M-term and orthogonal trigonometric approximations of functions of classes LΨ(β,ρ) in the uniform metrics
von: V. V. Shkapa
Veröffentlicht: (2014)

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