On the relationships between Stieltjes type integrals of Young, Dushnik and Kurzweil

Abstract

In this paper we explain the relationship between Stieltjes type integrals of Young, Dushnik and Kurzweil for functions with values in Banach spaces. To this aim also several new convergence theorems will be stated and proved.

Keywords

• kurzweil integral
• young integral
• dushnik integral
• kurzweil-stieltjes integral
• young-stieltjes integral
• dushnik-stieltjes integral
• convergence theorem