Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/2703
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dc.contributor.authorDeniz, Aslı-
dc.contributor.authorUfuktepe, Ünal-
dc.date.accessioned2017-01-03T11:00:55Z
dc.date.available2017-01-03T11:00:55Z
dc.date.issued2009
dc.identifier.citationDeniz, A., and Ufuktepe, Ü. (2009). Lebesgue-Stieltjes measure on time scales. Turkish Journal of Mathematics, 33(1), 27-40. doi:10.3906/mat-0711-11en_US
dc.identifier.issn1300-0098
dc.identifier.issn1300-0098-
dc.identifier.issn1303-6149-
dc.identifier.urihttp://dx.doi.org/10.3906/mat-0711-11
dc.identifier.urihttp://hdl.handle.net/11147/2703
dc.description.abstractThe theory of time scales was introduced by Stefan Hilger in his Ph. D. thesis in 1988, supervised by Bernd Auldbach, in order to unify continuous and discrete analysis [5]. Measure theory on time scales was first constructed by Guseinov [4], then further studies were made by Guseinov-Bohner [1], Cabada-Vivero [2] and Rzezuchowski [6]. In this article, we adapt the concept of Lebesgue-Stieltjes measure to time scales. We define Lebesgue-Stieltjes Δ and ▶-measures and by using these measures, we define an integral adapted to time scales, specifically Lebesgue-Stieltjes Δ-integral. We also establish the relation between Lebesgue-Stieltjes measure and Lebesgue-Stieltjes Δ-measure, consequently between Lebesgue-Stieltjes integral and Lebesgue-Stieltjes Δ-integral.en_US
dc.language.isoengen_US
dc.publisherTUBITAKen_US
dc.relation.ispartofTurkish Journal of Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectLebesgue-Stieltjes Δ-integralen_US
dc.subjectLebesgue-Stieltjes Δ-measureen_US
dc.subjectTime scalesen_US
dc.titleLebesgue-Stieltjes measure on time scalesen_US
dc.typearticleen_US
dc.contributor.institutionauthorDeniz, Aslı-
dc.contributor.departmentIzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume33en_US
dc.identifier.issue1en_US
dc.identifier.startpage27en_US
dc.identifier.endpage40en_US
dc.identifier.wosWOS:000264953200004
dc.identifier.scopusSCOPUS:2-s2.0-62349118026
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.3906/mat-0711-11-
dc.relation.doi10.3906/mat-0711-11en_US
dc.coverage.doi10.3906/mat-0711-11en_US
item.openairetypearticle-
item.cerifentitytypePublications-
item.languageiso639-1en-
item.fulltextWith Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextopen-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
TR Dizin İndeksli Yayınlar / TR Dizin Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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