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https://hdl.handle.net/20.500.14365/3314
Title: | Lebesgue-Stieltjes Measure on Time Scales | Authors: | Deniz, Ash Ufuktepe, Ünal |
Keywords: | Time scales Lebesgue-Stieltjes Delta-measure Lebesgue-Stieltjes Delta-integral |
Publisher: | Scientific Technical Research Council Turkey-Tubitak | Abstract: | The theory of time scales was introduced by Stefan Hilger in his Ph. D. thesis in 1988, supervised Bernd Auldbach, in order to unify continuous and discrete analysis [5]. Measure theory oil 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 Delta and del-measures and by using these measures, we define ail integral adapted to time scales, specifically Lebesgue-Stieltjes Delta-integral. We also establish the relation between Lebesgue-Stieltjes measure and Lebesgue-Stieltjes Delta-measure, consequently between Lebesgue-Stieltjes integral and Lebesgue-Stieltjes Delta-integral. | URI: | https://hdl.handle.net/20.500.14365/3314 | ISSN: | 1300-0098 |
Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection TR Dizin İndeksli Yayınlar Koleksiyonu / TR Dizin Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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