In the work, we found integral representations for function spaces that are isometric to spaces of entire functions of exponential type, which are necessary for giving examples of equality of approximation characteristics in function spaces isometric to spaces of non-periodic functions. Sufficient conditions are obtained for the nonnegativity of the delta-like kernels used to construct isometric function spaces with various numbers of variables.
Publication Name (dc.title) | The use of the isometry of function spaces with different numbers of variables in the theory of approximation of functions |
Author/s (dc.contributor.yazarlar) | D.M. Bushev, F.G. Abdullayev, I.V. Kal |
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) | Carpathian Mathematical Publications |
Number (dc.identifier.issue) | 3 |
Volume/Issue (dc.identifier.volume) | 13 |
Page (dc.identifier.startpage) | 805-817 |
ISSN/ISBN (dc.identifier.issn) | ISSN: 2075-9827; Online ISSN: 2313-0210 |
Publisher (dc.publisher) | Vasyl Stefanyk Precarpathian National University, Ukraine |
Databases (dc.contributor.veritaban) | Web of Science Core Collection |
Databases (dc.contributor.veritaban) | Kaynak web sitesi |
Databases (dc.contributor.veritaban) | Scopus |
Index Type (dc.identifier.index) | ESCI |
Index Type (dc.identifier.index) | Scopus |
Abstract (dc.description.abstract) | In the work, we found integral representations for function spaces that are isometric to spaces of entire functions of exponential type, which are necessary for giving examples of equality of approximation characteristics in function spaces isometric to spaces of non-periodic functions. Sufficient conditions are obtained for the nonnegativity of the delta-like kernels used to construct isometric function spaces with various numbers of variables. |
URL (dc.rights) | https://journals.pnu.edu.ua/index.php/cmp/article/view/5194 |
DOI (dc.identifier.doi) | 10.15330/cmp.13.3.805-817 |
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) | BL9903D1DD |
Record Add Date (dc.date.available) | 2022-02-07 |
Notes (Publication year) (dc.identifier.notyayinyili) | 2021 |
Wos No (dc.identifier.wos) | WOS:000742810400001 |
Subject Headings (dc.subject) | delta-like kernel |
Subject Headings (dc.subject) | isometry |
Subject Headings (dc.subject) | space of convolutionsa |
Subject Headings (dc.subject) | pproximative characteristic |