• Korean Journal of Mathematics
• /
• 제11권2호
• /
• pp.137-146
• /
• 2003

In this paper we introduce the concepts of the weak $Denjoy_*$ integral of real-valued functions and the weak $Denjoy_*$-Dunford, weak $Denjoy_*$-Pettis, weak $Denjoy_*$-Bochner, weak $Denjoy_*$-McShane integrals of Banach-valued functions and then 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.

• 대한수학회논문집
• /
• 제13권2호
• /
• pp.307-316
• /
• 1998

In this paper Denjoy*-Dunford, Denjoy*-Pettis, Denjoy*-McShane and Denjoy*-Bochner integrals of functions which map an interval [a,b] into a Banach space X are defined. And we give the relations among the integrals.

• Korean Journal of Mathematics
• /
• 제10권2호
• /
• pp.123-130
• /
• 2002

In this paper we introduce the concepts of Denjoy-Stieltjes-Dunford, Denjoy-Stieltjes-Pettis and Denjoy-Stieltjes-Bochner integrals of Banach-valued functions and then prove some properties of them.

• Korean Journal of Mathematics
• /
• 제18권3호
• /
• pp.229-241
• /
• 2010

In this paper, we introduce the Denjoy-Pettis integral of fuzzy mappings in Banach spaces and obtain some properties of the Denjoy-Pettis integral of fuzzy mappings and the convergence theorems for Denjoy-Pettis integrable fuzzy mappings.

• 대한수학회논문집
• /
• 제24권2호
• /
• pp.227-237
• /
• 2009

In this paper, we introduce the Denjoy-Pettis integral of set-valued mappings and investigate some properties of the set-valued Denjoy-Pettis integral. Finally we obtain the Dominated Convergence Theorem and Monotone Convergence Theorem for set-valued Denjoy-Pettis integrable mappings.

• 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.

• 대한수학회논문집
• /
• 제22권1호
• /
• pp.27-39
• /
• 2007

In this paper, we define and study the C-integral of functions mapping an interval [a,b] into a Banach space X and discuss the relations among Henstock integral, C-integral and McShane integral. We also study the Denjoy extension of the C-integral.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제15권3호
• /
• pp.343-351
• /
• 2008

In this paper, we define the Denjoy and ap-Denjoy integrals of Banach-valued functions, and we investigate some properties of these two integrals. In particular, we show that a Denjoy integrable function is ap-Denjoy integrable.

• 대한수학회보
• /
• 제42권3호
• /
• pp.535-541
• /
• 2005

In this paper, we define the ap-Denjoy integral and investigate some properties of the ap-Denjoy integral.