TY  - JOUR
TI  - Lebesgue-Stieltjes measure on time scales
AB  - 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.
AU  - DENİZ, Aslı
AU  - UFUKTEPE, Ünal
PY  - 2009
JO  - Turkish Journal of Mathematics
VL  - 33
IS  - 1
SN  - 1300-0098
SP  - 27
EP  - 40
DB  - TRDizin
UR  - http://search/yayin/detay/89349
ER  -