Cover Image

Approximative characteristics and properties of operators of the best approximation of classes of functions from the Sobolev and Nikol&#039;skii-Besov spaces

Saved in:

Bibliographic Details
Date:	2020
Main Authors:	A. S. Romaniuk, V. S. Romaniuk
Format:	Article
Language:	English
Published:	2020
Series:	Ukrainian Mathematical Bulletin
Online Access:	http://jnas.nbuv.gov.ua/article/UJRN-0001249847
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Library portal of National Academy of Sciences of Ukraine \| LibNAS

Institution

Library portal of National Academy of Sciences of Ukraine | LibNAS

Similar Items

Approximation of classes of periodic functions in one and many variables from the Nikol&#039;skii–Besov and Sobolev spaces
by: A. S. Romaniuk, et al.
Published: (2022)

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

Best approximation of the functions from anisotropic Nikol’skii – Besov classes defined in $R^d$
by: Yanchenko, S. Ya., et al.
Published: (2018)

Best approximation of the functions from anisotropic Nikol&#039;skii–Besov classes defined in Rd
by: Ya. Yanchenko
Published: (2018)

Characteristics of the linear and nonlinear approximations of the Nikol&#039;skii-Besov-type classes of periodic functions of several variables
by: S. B. Hembarska, et al.
Published: (2023)

Best orthogonal trigonometric approximations of the Nikol&#039;skii–Besov-type classes of periodic functions in the space B∞,1
by: S. B. Hembarska, et al.
Published: (2022)

Best orthogonal trigonometric approximations of the Nikol'skii – Besov-type classes of periodic functions in the space $B_{\infty,1}$
by: Hembars’ka, S. B., et al.
Published: (2022)

Approximation of Functions from the Isotropic Nikol’skii–Besov Classes in the Uniform and Integral Metrics
by: Yanchenko, S. Ya., et al.
Published: (2015)

Order estimates of approximation characteristics of functions from the anisotropic Nikol&#039;skii-Besov classes
by: Ya. Yanchenko
Published: (2017)

Best $m$-term trigonometric approximation for periodic functions with low mixed smoothness from the Nikol’skii – Besov-type classes
by: Stasyuk, S. A., et al.
Published: (2016)

Approximative characteristics of the Nikol&#039;skii–Besov classes of functions S(ϒ 1,θ) B (ℝd)
by: Ya. Yanchenko, et al.
Published: (2019)

Approximative characteristics of the Nikol’skii – Besov classes of functions $S_{1, θ}^r B(\mathbb{R}^d)$
by: Radchenko, O. Ya., et al.
Published: (2026)

Kolmogorov widths of the Nikol&#039;skii–Besov classes of periodic functions of many variables in the space of quasicontinuous functions
by: A. S. Romaniuk, et al.
Published: (2022)

Entropy numbers and Kolmogorov widths of Nikol&#039;skii-Besov classes of periodic functions of two variables in the space L∞
by: A. S. Romaniuk
Published: (2015)

Approximation of Functions from the Isotropic Nikol&#039;skii–Besov Classes in the Uniform and Integral Metrics
by: Ya. Yanchenko
Published: (2015)

Estimates of approximation characteristics and properties of operators of the best approximation for the classes of periodic functions in the space B1,1
by: A. S. Romaniuk, et al.
Published: (2021)

Best m-term trigonometric approximation for periodic functions with low mixed smoothness from the Nikol&#039;skii – Besov-type classes
by: S. A. Stasiuk
Published: (2016)

Order estimates for approximative characteristics of functions from generalized classes of mixed smoothness of the Nikol&#039;skii-Besov type
by: Ya. Yanchenko
Published: (2014)

Trigonometric Widths of the Nikol’skii–Besov Classes in the Lebesgue Space with Mixed Norm
by: Akishev, G., et al.
Published: (2014)

Kolmogorov Widths for Analogs of the Nikol’skii–Besov Classes with Logarithmic Smoothness
by: Stasyuk, S. A., et al.
Published: (2015)

Kolmogorov widths of the Nikol’skii – Besov classes of periodic functions of many variables in the space of quasi-continuous functions
by: Romanyuk , A. S., et al.
Published: (2022)

Trigonometric Widths of the Nikol&#039;skii–Besov Classes in the Lebesgue Space with Mixed Norm
by: G. Akishev
Published: (2014)

Best bilinear approximations of functions from Nikolskii-Besov classes
by: Romanyuk, A. S., et al.
Published: (2012)

Kolmogorov Widths for Analogs of the Nikol&#039;skii–Besov Classes with Logarithmic Smoothness
by: S. A. Stasjuk
Published: (2015)

Approximation characteristics of the Nikol&#039;sky-Besov-type classes of periodic single- and multivariable functions in the B_
by: S. B. Hembarska, et al.
Published: (2021)

Entropy numbers of the Nikol&#039;skii-Besov-type classes of periodic functions of many variables
by: K. V. Pozharska
Published: (2018)

Estimation of the Entropy Numbers and Kolmogorov Widths for the Nikol’skii–Besov Classes of Periodic Functions of Many Variables
by: Romanyuk, A. S., et al.
Published: (2015)

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

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

Approximating characteristics of the classes of periodic multivariate functions in the space B∞,1
by: A. S. Romaniuk, et al.
Published: (2019)

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

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

Estimates of the entropy numbers and е-entropy of the Nikol&#039;skii-Besov classes of periodic functions of several variables
by: A. S. Romanjuk
Published: (2014)

Estimation of the Entropy Numbers and Kolmogorov Widths for the Nikol&#039;skii–Besov Classes of Periodic Functions of Many Variables
by: A. S. Romanjuk
Published: (2015)

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

Approximating Characteristics of the Analogs of Besov Classes with Logarithmic Smoothness
by: S. A. Stasjuk
Published: (2014)

Approximating Characteristics of the Analogs of Besov Classes with Logarithmic Smoothness
by: Stasyuk, S. A., et al.
Published: (2014)

Estimates of some approximating characteristics of the classes of periodic functions of one and many variables
by: A. S. Romaniuk, et al.
Published: (2019)

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

Localization of the Bochner-Riesz means in the Nikol'skii classes
by: Grona, V. L., et al.
Published: (1993)