A modulus of smoothness for some banach function spaces
| dc.authorid | 0000-0001-6247-8518 | en_US |
| dc.contributor.author | Akgün, Ramazan | |
| dc.date.accessioned | 2024-05-24T07:21:58Z | |
| dc.date.available | 2024-05-24T07:21:58Z | |
| dc.date.issued | 2023 | en_US |
| dc.department | Fakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.description | Akgün, Ramazan (Balikesir Author) | en_US |
| dc.description.abstract | Based on the Steklov operator, we consider a modulus of smoothness for functions in some Banach function spaces, which can be not translation invariant, and establish its main properties. A constructive characterization of the Lipschitz class is obtained with the help of the Jackson-type direct theorem and the inverse theorem on trigonometric approximation. As an application, we present several examples of related (weighted) function spaces. | en_US |
| dc.description.sponsorship | Scientific Research Project of the Balikesir University 2019/61 | en_US |
| dc.identifier.doi | 10.1007/s11253-023-02253-z | |
| dc.identifier.endpage | 1177 | en_US |
| dc.identifier.issn | 0041-5995 | |
| dc.identifier.issn | 1573-9376 | |
| dc.identifier.issue | 8 | en_US |
| dc.identifier.scopus | 2-s2.0-85179355529 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 1159 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s11253-023-02253-z | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12462/14720 | |
| dc.identifier.volume | 75 | en_US |
| dc.identifier.wos | WOS:001118091300002 | |
| dc.identifier.wosquality | Q3 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Ukrainian Mathematical Journal | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.relation.tubitak | info:eu-repo/grantAgreement/TUBITAK/SOBAG/111T576 | |
| dc.relation.tubitak | info:eu-repo/grantAgreement/TUBITAK/SOBAG/MTM2011-27637 | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Trigonometric Polynomials | en_US |
| dc.subject | Integral-Inequalities | en_US |
| dc.subject | Lebesgue Spaces | en_US |
| dc.subject | Approximation | en_US |
| dc.subject | Sums | en_US |
| dc.title | A modulus of smoothness for some banach function spaces | en_US |
| dc.type | Article | en_US |
