Characteristics of linear and nonlinear approximation of isotropic classes of periodic multivariate functions

Exact order estimates for some characteristics of linear and nonlinear approximation of the isotropic Nikol'skii-Besov classes $\mathbf{B}^r_{p,\theta}$ of periodic multivariate functions in the spaces $B_{q,1}$, $1\leq q \leq \infty$, are obtained. Among them are the best orthogonal trigonomet...

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Bibliographic Details

Published in:	Karpatsʹkì Matematičnì Publìkacìï
Main Authors:	A.S. Romanyuk, V.S. Romanyuk, K.V. Pozharska, S.B. Hembars'ka
Format:	Article
Language:	English
Published:	Vasyl Stefanyk Precarpathian National University 2023-06-01
Subjects:	nikol'skii-besov class best orthogonal trigonometric approximation best approximation width
Online Access:	https://journals.pnu.edu.ua/index.php/cmp/article/view/6543