• 대한수학회논문집
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• 제18권4호
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• pp.643-652
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• 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.

• 충청수학회지
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• 제14권1호
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• pp.41-48
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• 2001

In this paper, we study the sap-Perron and ap-McShane integrals. In particular, we show that the sap-Perron integral is equivalent to the ap-McShane integral.

• 충청수학회지
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• 제25권3호
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• pp.393-400
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• 2012

In this paper, we study the process of McShane delta integrals on time scales and discuss the relation between McShane delta integral and Henstock delta integral. We also prove the mono- tone convergence theorem, Fatou's Lemma and the dominated con- vergence theorems for the McShane delta integral.

• 대한수학회논문집
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• 제22권1호
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• pp.15-18
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• 2007

It is shown that $\alpha-regular$ McShane and strong Perron integrals considered in [1] are equivalent to the usual McShane integral.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제8권2호
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• pp.87-99
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• 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
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• 제33권3호
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• pp.411-417
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• 1996

Some generalizations of the Riemann integral have been studied for real-valued functions. One of these generalizations leads to an integral, often called the McShane integral, that is equivalent to the Lebesgue integral.

• 대한수학회논문집
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• 제13권2호
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• pp.307-316
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• 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.

• 대한수학회보
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• 제41권2호
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• pp.221-233
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• 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.

• 충청수학회지
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• 제17권2호
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• pp.147-162
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• 2004

In this paper, we investigate the relations between the McShane and Pettis integrals.

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

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