Cover Image

Estimates of approximation characteristics and properties of operators of the best approximation for the classes of periodic functions in the space B1,1

Saved in:

Bibliographic Details
Date:	2021
Main Authors:	A. S. Romaniuk, Ya. Yanchenko
Format:	Article
Language:	English
Published:	2021
Series:	Ukrainian Mathematical Journal
Online Access:	http://jnas.nbuv.gov.ua/article/UJRN-0001264847
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

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)

Approximating characteristics of the classes of periodic multivariate functions in the space $B_{∞,1}$
by: Romanyuk, A. S., et al.
Published: (2019)

Approximative characteristics and properties of operators of the best approximation of classes of functions from the Sobolev and Nikol&#039;skii-Besov spaces
by: A. S. Romaniuk, et al.
Published: (2020)

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)

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

Estimates for approximative characteristics of classes Sr(p,θ)B(Rd) of functions in the uniform metric
by: Ya. Yanchenko
Published: (2013)

On the uniqueness of elements of the best approximation and the best one-sided approximation in the space $L_1$
by: Babenko, V. F., et al.
Published: (1994)

Best approximations for classes of periodic functions of many variables with bounded dominating mixed derivative
by: K. Pozharska, et al.
Published: (2024)

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

Estimates for the best asymmetric approximations of asymmetric classes of functions
by: Motornyi, V. P., et al.
Published: (2011)

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)

Widths and best approximations for classes of convolutions of periodic functions
by: Serdyuk, A. S., et al.
Published: (1999)

Estimates for the best bilinear approximations of the classes $B^r_{p,\theta}$ and singular numbers of integral operators
by: Romanyuk, A. S., et al.
Published: (2016)

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

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

Estimates of the best bilinear approximations for the classes of (ψ, β)-differentiable periodic multivariate functions
by: K. V. Shvai
Published: (2018)

Estimates of the best orthogonal trigonometric approximations of the classes of convolutions of periodic functions of not high smoothness
by: A. S. Serdiuk, et al.
Published: (2015)

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)

Estimates of the best bilinear approximations for the classes of $(ψ,β)$-differentiable periodic multivariate functions
by: Shvai, K. V., et al.
Published: (2018)

The best $L_1$-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes
by: Babenko, V. F., et al.
Published: (1998)

Best approximations for classes of periodic functions of many variables with bounded dominating mixed derivative
by: Pozharska, K., et al.
Published: (2024)

Order estimates for the best approximation and approximation by Fourier sums of classes of infinitely differentiable functions
by: A. S. Serdiuk, et al.
Published: (2013)

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

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
by: A. S. Serdiuk, et al.
Published: (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
by: Serdyuk, A. S., et al.
Published: (2014)

Best approximations of periodic functions in generalized lebesgue spaces
by: Chaichenko, S. O., et al.
Published: (2012)

On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials
by: Serdyuk, A. S., et al.
Published: (1995)

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)

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

Order Estimates for the Best Orthogonal Trigonometric Approximations of the Classes of Convolutions of Periodic Functions of Low Smoothness
by: A. S. Serdiuk, et al.
Published: (2015)

Order Estimates for the Best Orthogonal Trigonometric Approximations of the Classes of Convolutions of Periodic Functions of Low Smoothness
by: Serdyuk, A. S., et al.
Published: (2015)

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

On the best approximation of classes $W^r H^{ω}$ by algebraic polynomials in the space $L_1$
by: Kogan, A. M., et al.
Published: (1999)

Order Estimates for the Best Approximations and Approximations by Fourier Sums of the Classes of (ψ, β)-Differential Functions
by: U. Z. Hrabova, et al.
Published: (2013)

Order Estimates for the Best Approximations and Approximations by Fourier Sums of the Classes of (ψ, β)-Differential Functions
by: Hrabova, U. Z., et al.
Published: (2013)

Estimates for the best bilinear approximations of the classes Brp,ɵ and singular numbers of integral operators
by: A. S. Romanjuk, et al.
Published: (2016)

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