In the Musielak-Orlicz-type spaces S M , exact Jackson-type inequalities are obtained in terms of best approximations of functions and the averaged values of their generalized moduli of smoothness. The values of Kolmogorov, Bernstein, linear, and projective widths in SM are found for classes of periodic functions defined by certain conditions on the averaged values of the generalized moduli of smoothness.
Publication Name (dc.title) | Jackson-type inequalities and widths of functional classes in the Musielak–Orlicz type spaces |
Author/s (dc.contributor.yazarlar) | Fahreddin Abdullayev, Stanislav Chaichenko, Meerim Imashkyzy, Andrii Shidlich |
Publication type (dc.type) | Makale |
Language (dc.language) | İngilizce |
Publication year (dc.date.issued) | 2021 |
National/International (dc.identifier.ulusaluluslararasi) | Uluslararası |
Source (dc.relation.journal) | Rocky Mountain Journal of Mathematics |
Number (dc.identifier.issue) | 4 |
Volume/Issue (dc.identifier.volume) | 51 |
Page (dc.identifier.startpage) | 1143-1155 |
ISSN/ISBN (dc.identifier.issn) | ISSN: 0035-7596; Online ISSN: 1945-3795 |
Publisher (dc.publisher) | Rocky Mountain Mathematics Consortium |
Databases (dc.contributor.veritaban) | Web of Science Core Collection |
Databases (dc.contributor.veritaban) | Project Euclid |
Databases (dc.contributor.veritaban) | Scopus |
Index Type (dc.identifier.index) | SCI Expanded |
Index Type (dc.identifier.index) | Scopus |
Impact Factor (dc.identifier.etkifaktoru) | 0,568 / 2020-WOS / 5 Year: 0,61 |
Abstract (dc.description.abstract) | In the Musielak-Orlicz-type spaces S M , exact Jackson-type inequalities are obtained in terms of best approximations of functions and the averaged values of their generalized moduli of smoothness. The values of Kolmogorov, Bernstein, linear, and projective widths in SM are found for classes of periodic functions defined by certain conditions on the averaged values of the generalized moduli of smoothness. |
URL (dc.rights) | https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-51/issue-4/Jackson-type-inequalities-and-widths-of-functional-classes-in-the/10.1216/rmj-2021-51-1143.short |
DOI (dc.identifier.doi) | 10.1216/rmj.2021.51.1143 |
Faculty / Institute (dc.identifier.fakulte) | Fen Fakültesi |
Department (dc.identifier.bolum) | Uygulamalı Matematik ve Enformatik Bölümü |
Author(s) in the Institution (dc.contributor.author) | Fahreddin ABDULLAYEV |
Author(s) in the Institution (dc.contributor.author) | Meerim İmaş Kızı |
Kayıt No (dc.identifier.kayitno) | BLC1F49FAD |
Record Add Date (dc.date.available) | 2021-09-28 |
Notes (Publication year) (dc.identifier.notyayinyili) | August 2021 |
Wos No (dc.identifier.wos) | WOS:000683895000001 |
Subject Headings (dc.subject) | kolmogorov width |
Subject Headings (dc.subject) | bernstein width |
Subject Headings (dc.subject) | best approximation |
Subject Headings (dc.subject) | module of smoothness |
Subject Headings (dc.subject) | jackson-type inequality |
Subject Headings (dc.subject) | musielak-orlicz spaces |