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https://hdl.handle.net/11147/2703
Title: | Lebesgue-Stieltjes measure on time scales | Authors: | Deniz, Aslı Ufuktepe, Ünal |
Keywords: | Lebesgue-Stieltjes Δ-integral Lebesgue-Stieltjes Δ-measure Time scales |
Publisher: | TUBITAK | Source: | 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 | 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. | URI: | http://dx.doi.org/10.3906/mat-0711-11 http://hdl.handle.net/11147/2703 https://search.trdizin.gov.tr/yayin/detay/89349 |
ISSN: | 1300-0098 1300-0098 1303-6149 |
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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