• Korean Journal of Mathematics
• /
• v.4 no.2
• /
• pp.89-94
• /
• 1996

In this paper we prove that for functions from [0,1] into a totally ordered AL-space, Mcshane integrability and absolute Mcshane integrability are equivalent.

• The Pure and Applied Mathematics
• /
• v.8 no.2
• /
• pp.87-99
• /
• 2001

In this paper, we define the Mcshane-Stieltjes integral for Banach-valued functions, and will investigate some of its properties and comparison with the Pettis integral.

• Communications of the Korean Mathematical Society
• /
• v.18 no.4
• /
• pp.643-652
• /
• 2003

In this paper we introduce the concepts of the Mc-Shane-Stieltjes integral and the Denjoy-McShane-Stieltjes integral for Banach-valued functions and give a characterization of the Mc-Shane-Stieltjes integrability and investigate some properties of the Denjoy-McShane-Stieltjes integral.