Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/3744
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dc.contributor.advisorUfuktepe, Ünalen
dc.contributor.authorDeniz, Aslı-
dc.date.accessioned2014-07-22T13:52:16Z-
dc.date.available2014-07-22T13:52:16Z-
dc.date.issued2007en
dc.identifier.urihttp://hdl.handle.net/11147/3744-
dc.descriptionThesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2007en
dc.descriptionIncludes bibliographical references (leaves: 61)en
dc.descriptionText in English;Abstract: Turkish and Englishen
dc.descriptionvi, 61 leavesen
dc.description.abstractIn this thesis, we have studied measure theory adapted to time scales. delta and nabla-measures were first defined by Guseinov in 2003, then in a further study, the relationship between Lebesgue delta-integral and Riemann delta-integral were introduced in detail by Guseinov and Bohner. In 2004, Cabada established the relationship between delta-measure and the classical Lebesgue measure, moreover, Lebesgue delta-integral and the classical Lebegue integral. Finally, deltameasurability of sets was studied by Rzezuchovsky in 2005. In this study, we have adapted basic concepts of the measure theory to time Scales, by using definitions and properties given in these papers. With the help of related papers, Lebesgue-Stieltjes measure has been constructed on time scales and the link between Lebesgue-Stieltjes measure and Lebesgue-Stieltjes delta-measure and also link between Lebesgue-Stieltjes delta-integral and Lebesgue-Stieltjes integral have taken place.en
dc.language.isoenen_US
dc.publisherIzmir Institute of Technologyen
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject.lccQA312. D39 2007en
dc.subject.lcshMeasure theoryen
dc.subject.lcshIntegralsen
dc.subject.lcshLebesgue integralen
dc.subject.lcshRiemann integralen
dc.titleMeasure theory on times scalesen_US
dc.typeMaster Thesisen_US
dc.institutionauthorDeniz, Aslı-
dc.departmentThesis (Master)--İzmir Institute of Technology, Mathematicsen_US
dc.relation.publicationcategoryTezen_US
item.openairetypeMaster Thesis-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.grantfulltextopen-
Appears in Collections:Master Degree / Yüksek Lisans Tezleri
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