In weighted Orlicz-type spaces S-p,S- (mu) with a variable summation exponent, the direct and inverse approximation theorems are proved in terms of best approximations of functions and moduli of smoothness of fractional order. It is shown that the constant obtained in the inverse approximation theorem is the best in a certain sense. Some applications of the results are also proposed. In particular, the constructive characteristics of functional classes defined by such moduli of smoothness are given. Equivalence between moduli of smoothness and certain Peetre K-functionals is shown in the spaces S-p,S- (mu).
Publication Name (dc.title) | Direct and inverse approximation theorems in the weighted Orlicz-type spaces with a variable exponent |
Author/s (dc.contributor.yazarlar) | Fahreddin Abdullayev, Stanislav Chaichenko, Meerim Imash Kyzy, Andrii Shidlich |
Publication type (dc.type) | Makale |
Language (dc.language) | İngilizce |
Publication year (dc.date.issued) | 2020 |
National/International (dc.identifier.ulusaluluslararasi) | Uluslararası |
Source (dc.relation.journal) | Turkish Journal of Mathematics |
Number (dc.identifier.issue) | 1 |
Volume/Issue (dc.identifier.volume) | 44 |
Page (dc.identifier.startpage) | 284-299 |
ISSN/ISBN (dc.identifier.issn) | ISSN: 1300-0098; Online ISSN: 1303-6149 |
Publisher (dc.publisher) | Tübitak |
Databases (dc.contributor.veritaban) | Web of Science Core Collection |
Databases (dc.contributor.veritaban) | Tübitak (Academik Journals) |
Databases (dc.contributor.veritaban) | Scopus |
Index Type (dc.identifier.index) | SCI Expanded |
Index Type (dc.identifier.index) | Scopus |
Impact Factor (dc.identifier.etkifaktoru) | 0,658 / 2019-WOS / 5 Year: 0,722 |
Abstract (dc.description.abstract) | In weighted Orlicz-type spaces S-p,S- (mu) with a variable summation exponent, the direct and inverse approximation theorems are proved in terms of best approximations of functions and moduli of smoothness of fractional order. It is shown that the constant obtained in the inverse approximation theorem is the best in a certain sense. Some applications of the results are also proposed. In particular, the constructive characteristics of functional classes defined by such moduli of smoothness are given. Equivalence between moduli of smoothness and certain Peetre K-functionals is shown in the spaces S-p,S- (mu). |
URL (dc.rights) | https://journals.tubitak.gov.tr/math/vol44/iss1/19/ |
DOI (dc.identifier.doi) | 10.3906/mat-1911-3 |
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) | BL9765B2C7 |
Record Add Date (dc.date.available) | 2020-05-26 |
Notes (Publication year) (dc.identifier.notyayinyili) | 2020 |
Wos No (dc.identifier.wos) | WOS:000519748100020 |
Subject Headings (dc.subject) | best approximation |
Subject Headings (dc.subject) | modulus of smoothness |
Subject Headings (dc.subject) | direct approximation theorem |
Subject Headings (dc.subject) | inverse approximation theorem |
Subject Headings (dc.subject) | weighted space |
Subject Headings (dc.subject) | orlicz-type spaces |
Subject Headings (dc.subject) | k-functionals |