Improved direct and converse theorems in weighted Lorentz spaces
| dc.authorid | 0000-0001-6247-8518 | en_US |
| dc.authorid | 0000-0001-5526-4263 | en_US |
| dc.contributor.author | Akgün, Ramazan | |
| dc.contributor.author | Yıldırır, Yunus Emre | |
| dc.date.accessioned | 2019-10-17T11:38:20Z | |
| dc.date.available | 2019-10-17T11:38:20Z | |
| dc.date.issued | 2016 | en_US |
| dc.department | Fakülteler, Necatibey Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümü | en_US |
| dc.department | Fakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | In the present work we prove the equivalence of the fractional modulus of smoothness to the realization functional and to the Peetre K-functional in weighted Lorentz spaces. Using this equivalence we obtain an improvement of the direct approximation theorem. Furthermore we prove the improved converse theorem in this space. | en_US |
| dc.identifier.endpage | 262 | en_US |
| dc.identifier.issn | 1370-1444 | |
| dc.identifier.issn | 2034-1970 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-85071394387 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 247 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12462/8640 | |
| dc.identifier.volume | 23 | en_US |
| dc.identifier.wos | WOS:000379379100006 | |
| dc.identifier.wosquality | Q4 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.language.iso | en | en_US |
| dc.publisher | Belgian Mathematical Soc Triomphe | en_US |
| dc.relation.ispartof | Bulletin of The Belgian Mathemaiıcal Society-Simon Stevin | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Modulus of Smoothness | en_US |
| dc.subject | Realization | en_US |
| dc.subject | Weighted Lorentz Spaces | en_US |
| dc.subject | Muckenhoupt Weigh | en_US |
| dc.subject | Direct and Converse Theorem | en_US |
| dc.title | Improved direct and converse theorems in weighted Lorentz spaces | en_US |
| dc.type | Article | en_US |
