Please use this identifier to cite or link to this item: 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

Files in This Item:
File Description SizeFormat 
2703.pdfMakale204.76 kBAdobe PDFThumbnail
View/Open
Show full item record



CORE Recommender

SCOPUSTM   
Citations

18
checked on Apr 14, 2023

WEB OF SCIENCETM
Citations

16
checked on Mar 27, 2024

Page view(s)

224
checked on Mar 25, 2024

Download(s)

68
checked on Mar 25, 2024

Google ScholarTM

Check




Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.