Average Widths and Optimal Recovery of Multivariate Besov Classes in Orlicz Spaces

Xinxin Li and Garidi Wu ()
Additional contact information
Xinxin Li: College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, China
Garidi Wu: College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, China

Mathematics, 2024, vol. 12, issue 9, 1-15

Abstract: In this paper, we study the average Kolmogorov σ –widths and the average linear σ –widths of multivariate isotropic and anisotropic Besov classes in Orlicz spaces and give the weak asymptotic estimates of these two widths. At the same time, we also give the asymptotic property of the optimal recovery of isotropic Besov classes in Orlicz spaces.

Keywords: multivariate function; average width; optimal recovery; Orlicz space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/9/1400/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/9/1400/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:9:p:1400-:d:1388243

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().