• 대한수학회논문집
• /
• 제18권4호
• /
• 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.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제8권2호
• /
• 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.

• 대한수학회보
• /
• 제41권2호
• /
• pp.221-233
• /
• 2004

In this paper we introduce the concept of the McShane-Stieltjes integrals of interval-valued functions and fuzzy-number-valued functions and investigate some of their properties.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제15권3호
• /
• pp.315-327
• /
• 2008

In this paper we introduce the concepts of $Denjoy_*$-Stieltjes-Dunford, $Denjoy_*$-Stieltjes-Pettis, $Denjoy_*$-Stieltjes-Bochner and $Denjoy_*$-McShane-Stieltjes integrals of Banach-valued functions using the $Denjoy_*$-Stieltjes integral of real-valued functions and investigate their properties.

• Korean Journal of Mathematics
• /
• 제5권2호
• /
• pp.217-225
• /
• 1997

In this paper, we define the McShane-Stieltjes integral for real-valued function and prove some of its properties.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제7권2호
• /
• pp.137-143
• /
• 2000

In this paper, we define the uniformly sequence for the vector valued McShand-Stieltjes integrable functions and prove the dominated convergence theorem for the McShand-Stieltjes integrable functions.