Cover Image

Asymptotic behavior of the best approximations for the functions in $L_p$

The asymptotic behavior of the ratio $E_n (f)_p/ω(f, α/ n)_p$ is studied for individual periodic functions $f \in L_p$.

Saved in:

Bibliographic Details
Date:	1993
Main Authors:	Pichugov, S. A., Пичугов, С. А.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1993
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5876
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 compressions of periodic functions in the space $L_p,\; p < 1$
by: Pichugov, S. A., et al.
Published: (1995)

On the existence of a measurable function with given values of the best approximations in $L_0$
by: Pichugov, S. A., et al.
Published: (1996)

Approximation of sine-shaped functions by constants in the spaces $L_p,\; p < 1$
by: Babenko, V. F., et al.
Published: (2004)

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

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

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

Lower bounds for the deviations of the best linear methods of approximation of continuous functions by trigonometric polynomials
by: Pichugov, S. A., et al.
Published: (2012)

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)

Approximation of measurable periodic functions in measure by step functions
by: Pichugov, S. A., et al.
Published: (1996)

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

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)

K-interpolations in problems of uniform approximation of functions
by: Pichugov , S. A., et al.
Published: (1992)

Smoothness of functions in the metric spaces Lψ
by: Pichugov, S. A., et al.
Published: (2012)

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)

Относительная константа Юнга пространства Lp
by: Пичугов, С.А.
Published: (1990)

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

Approximation of continuous vector functions
by: Babenko, V. F., et al.
Published: (1994)

On the asymptotic estimates of the best approximations of differentiable functions by algebraić polynomials in the space $L_1$
by: Motornaya, O. V., et al.
Published: (1993)

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

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

Приближение синусоподобпых функций константами в пространствах Lp, p < 1
by: Бабенко, В.Ф., et al.
Published: (2004)

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

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)

On the jackson theorem for periodic functions in spaces with integral metric
by: Pichugov, S. A., et al.
Published: (2000)

Some properties of the moduli of continuity of periodic functions in metric spaces
by: Pichugov, S. A., et al.
Published: (2016)

On the Jackson theorem for periodic functions in metric spaces with integral metric. II
by: Pichugov, S. A., et al.
Published: (2011)

On the Exact Asymptotics of the Best Relative Approximations of Classes of Periodic Functions by Splines
by: Parfinovych, N. V., et al.
Published: (2001)

On the best L2 -approximations of functions by using wavelets
by: Babenko, V. F., et al.
Published: (2008)

Best Polynomial Approximations in $L_2$ and Widths of Some Classes of Functions
by: Vakarchuk, S. B., et al.
Published: (2004)

On Jackson’s theorem in $L_p$ spaces
by: Tіman, M. F., et al.
Published: (1966)

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

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

Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness
by: A. S. Serdyuk, et al.
Published: (2020)

Approximation by fourier sums and best approximations on classes of analytic functions
by: Serdyuk, A. S., et al.
Published: (2000)

Asymptotic properties of Lp-estimators
by: Ivanov, A.V.
Published: (2008)

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

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

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 approximation by holomorphic functions. Application to the best polynomial approximation of classes of holomorphic functions
by: Savchuk, V. V., et al.
Published: (2007)

Estimation of the norm of the derivative of a monotone rational function in the spaces $L_p$
by: Vyazovs’ka, M. S., et al.
Published: (2009)