Lebesgue-Stieltjes Measure on Time Scales
| dc.contributor.author | Deniz, Aslı | |
| dc.contributor.author | Ufuktepe, Ünal | |
| dc.coverage.doi | 10.3906/mat-0711-11 | |
| dc.date.accessioned | 2017-01-03T11:00:55Z | |
| dc.date.available | 2017-01-03T11:00:55Z | |
| dc.date.issued | 2009 | |
| dc.description.abstract | The 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.identifier.citation | Deniz, A., and Ufuktepe, Ü. (2009). Lebesgue-Stieltjes measure on time scales. Turkish Journal of Mathematics, 33(1), 27-40. doi:10.3906/mat-0711-11 | en_US |
| dc.identifier.doi | 10.3906/mat-0711-11 | en_US |
| dc.identifier.doi | 10.3906/mat-0711-11 | |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.issn | 1303-6149 | |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.scopus | 2-s2.0-62349118026 | |
| dc.identifier.uri | http://dx.doi.org/10.3906/mat-0711-11 | |
| dc.identifier.uri | https://hdl.handle.net/11147/2703 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/yayin/detay/89349 | |
| dc.language.iso | en | en_US |
| dc.publisher | TUBITAK | en_US |
| dc.relation.ispartof | Turkish Journal of Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Lebesgue-Stieltjes Δ-integral | en_US |
| dc.subject | Lebesgue-Stieltjes Δ-measure | en_US |
| dc.subject | Time scales | en_US |
| dc.title | Lebesgue-Stieltjes Measure on Time Scales | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Deniz, Aslı | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 40 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 27 | en_US |
| gdc.description.volume | 33 | en_US |
| gdc.description.wosquality | Q2 | |
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| gdc.oaire.keywords | Lebesgue-Stieltjes Δ-integral | |
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| gdc.oaire.keywords | Time scales | |
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