On the eigenfunctions of the <i>q</i>-Bernstein operators

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dc.authoridOstrovska, Sofiya/0000-0003-1842-7953
dc.authorscopusid35610828900
dc.authorscopusid35782583700
dc.authorwosidTuran, Mehmet/JYQ-4459-2024
dc.contributor.authorOstrovska, Sofiya
dc.contributor.authorTuran, Mehmet
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T15:24:07Z
dc.date.available2024-07-05T15:24:07Z
dc.date.issued2023
dc.departmentAtılım Universityen_US
dc.department-temp[Ostrovska, Sofiya; Turan, Mehmet] Atilim Univ, Dept Math, TR-06830 Ankara, Turkiyeen_US
dc.descriptionOstrovska, Sofiya/0000-0003-1842-7953en_US
dc.description.abstractThe eigenvalue problems for linear operators emerge in various practical applications in physics and engineering. This paper deals with the eigenvalue problems for the q-Bernstein operators, which play an important role in the q-boson theory of modern theoretical physics. The eigenstructure of the classical Bernstein operators was investigated in detail by S. Cooper and S. Waldron back in 2000. Some of their results were extended for other Bernstein-type operators, including the q-Bernstein and the limit q-Bernstein operators. The current study is a pursuit of this research. The aim of the present work is twofold. First, to derive for the q-Bernstein polynomials analogues of the Cooper-Waldron results on zeroes of the eigenfunctions. Next, to present in detail the proof concerning the existence of non-polynomial eigenfunctions for the limit q-Bernstein operator.en_US
dc.identifier.citationcount0
dc.identifier.doi10.1007/s43034-022-00235-z
dc.identifier.issn2639-7390
dc.identifier.issn2008-8752
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85142281774
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s43034-022-00235-z
dc.identifier.urihttps://hdl.handle.net/20.500.14411/2394
dc.identifier.volume14en_US
dc.identifier.wosWOS:000886130800001
dc.identifier.wosqualityQ2
dc.institutionauthorTuran, Mehmet
dc.institutionauthorOstrovska, Sofiya
dc.language.isoenen_US
dc.publisherSpringer Basel Agen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.scopus.citedbyCount0
dc.subjectEigenvalueen_US
dc.subjectEigenfunctionen_US
dc.subjectInfinite linear systemen_US
dc.subjectq-Bernstein operatoren_US
dc.titleOn the eigenfunctions of the <i>q</i>-Bernstein operatorsen_US
dc.typeArticleen_US
dc.wos.citedbyCount0
dspace.entity.typePublication
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