On the Image of the Lupas <i>q</I>-analogue of the Bernstein Operators

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dc.authorscopusid57204587566
dc.authorscopusid35610828900
dc.authorscopusid35782583700
dc.authorwosidGurel Yilmaz, Ovgu/JTS-7151-2023
dc.authorwosidTuran, Mehmet/JYQ-4459-2024
dc.contributor.authorYilmaz, Ovgu Gurel
dc.contributor.authorOstrovska, Sofiya
dc.contributor.authorTuran, Mehmet
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T15:23:19Z
dc.date.available2024-07-05T15:23:19Z
dc.date.issued2024
dc.departmentAtılım Universityen_US
dc.department-temp[Yilmaz, Ovgu Gurel] Recep Tayyip Erdogan Univ, Dept Math, TR-53100 Rize, Turkiye; [Ostrovska, Sofiya; Turan, Mehmet] Atilim Univ, Dept Math, TR-06830 Incek, Ankara, Turkiyeen_US
dc.description.abstractThe Lupas q-analogue, R-n,R-q, is historically the first known q-version of the Bernstein operator. It has been studied extensively in different aspects by a number of authors during the last decades. In this work, the following issues related to the image of the Lupas q-analogue are discussed: A new explicit formula for the moments has been derived, independence of the image R-n,R-q from the parameter q has been examined, the diagonalizability of operator R-n,R-q has been proved, and the fact that R-n,R-q does not preserve modulus of continuity has been established.en_US
dc.description.sponsorshipRecep Tayyip Erdogan Universityen_US
dc.description.sponsorshipThe authors express their sincere gratitude to Professor Heping Wang (Capital Normal University, Beijing, China) for providing them with a copy of his unpublished work which drawn their attention to the problem considered in Sect. 5. The first-named author gratefully acknowledges the support of Recep Tayyip Erdogan University as this work was completed while she was on post-doctoral leave at Atilim University. Last but not least the authors extend their appreciations to the anonymous referees for their thorough reading of the manuscript and beneficial comments.en_US
dc.identifier.citationcount0
dc.identifier.doi10.1007/s40840-023-01614-y
dc.identifier.issn0126-6705
dc.identifier.issn2180-4206
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85178147710
dc.identifier.urihttps://doi.org/10.1007/s40840-023-01614-y
dc.identifier.urihttps://hdl.handle.net/20.500.14411/2303
dc.identifier.volume47en_US
dc.identifier.wosWOS:001107312900002
dc.identifier.wosqualityQ2
dc.institutionauthorTuran, Mehmet
dc.institutionauthorOstrovska, Sofiya
dc.language.isoenen_US
dc.publisherSpringernatureen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.scopus.citedbyCount0
dc.subjectLupas q-transformen_US
dc.subjectMomentsen_US
dc.subjectEigenvaluesen_US
dc.subjectModulus of continuityen_US
dc.titleOn the Image of the Lupas <i>q</I>-analogue of the Bernstein Operatorsen_US
dc.typeArticleen_US
dc.wos.citedbyCount0
dspace.entity.typePublication
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