Geometric Properties of the Lupas <i>q</I>-transform
| dc.contributor.author | Ostrovska, Sofiya | |
| dc.date.accessioned | 2024-07-05T14:26:15Z | |
| dc.date.available | 2024-07-05T14:26:15Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | The Lupas q-transform emerges in the study of the limit q-Lupas operator. This transform is closely connected to the theory of positive linear operators of approximation theory, the q-boson operator calculus, the methods of summation of divergent series, and other areas. Given q is an element of (0, 1), f is an element of C[0, 1], the Lupas q-transform of f is defined by: [GRAPHICS] where [GRAPHICS] The analytical and approximation properties of A(q) have already been examined. In this paper, some properties of the Lupas q-transform related to continuous linear operators in normed linear spaces are investigated. | en_US |
| dc.identifier.doi | 10.15352/bjma/1396640059 | |
| dc.identifier.issn | 1735-8787 | |
| dc.identifier.issn | 2662-2033 | |
| dc.identifier.scopus | 2-s2.0-84898724607 | |
| dc.identifier.uri | https://doi.org/10.15352/bjma/1396640059 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/122 | |
| dc.language.iso | en | en_US |
| dc.publisher | Tusi Mathematical Research Group | en_US |
| dc.relation.ispartof | Banach Journal of Mathematical Analysis | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Lupas q-transform | en_US |
| dc.subject | Bernstein operator | en_US |
| dc.subject | continuous linear operator | en_US |
| dc.subject | isomorphic embedding | en_US |
| dc.title | Geometric Properties of the Lupas <i>q</I>-transform | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Ostrovska, Sofiya (35610828900) | |
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| gdc.author.wosid | Ostrovska, Sofiya/AAA-2156-2020 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| gdc.description.endpage | 145 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 139 | en_US |
| gdc.description.volume | 8 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Bernstein operator | |
| gdc.oaire.keywords | 46B20 | |
| gdc.oaire.keywords | 47B65 | |
| gdc.oaire.keywords | continuous linear operator | |
| gdc.oaire.keywords | isomorphic embedding | |
| gdc.oaire.keywords | Lupaş $q$-transform | |
| gdc.oaire.keywords | 47A05 | |
| gdc.oaire.keywords | 47B38 | |
| gdc.oaire.keywords | Positive linear operators and order-bounded operators | |
| gdc.oaire.keywords | Geometry and structure of normed linear spaces | |
| gdc.oaire.keywords | Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) | |
| gdc.oaire.keywords | Linear operators on function spaces (general) | |
| gdc.oaire.keywords | Lupaş \(q\)-transform | |
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