• 충청수학회지
• /
• 제19권2호
• /
• pp.177-188
• /
• 2006

In this paper, we define and study the vector-valued ap-Henstock-Stieltjes integral, we prove the Cauchy extension theorem and the dominated convergence theorems for the ap-Henstock-Stieltjes integral.

• 충청수학회지
• /
• 제23권4호
• /
• pp.879-884
• /
• 2010

In this paper, we introduce the AP-Henstock Dunford, AP-Henstock Pettis and AP-Henstock Bochner integral Banach-valued functions and investigate some properties of the these integrals.

• 충청수학회지
• /
• 제30권1호
• /
• pp.151-157
• /
• 2017

In this paper we introduce AP-Henstock integral of vector valued functions which is a generalization of Henstock integral of vector valued functions, investigate some of its properties, and characterize AP-Henstock integral of vector valued functions by the notion of equiintegrability.

• 충청수학회지
• /
• 제33권1호
• /
• pp.89-94
• /
• 2020

In this paper we introduce the concept of the AP-Henstock integral and prove the integration by parts formula for the AP-Henstock integral.

• 충청수학회지
• /
• 제31권1호
• /
• pp.151-160
• /
• 2018

In this paper we introduce the AP-Henstock-Stieltjes integral for fuzzy-number-valued functions which is an extension of the Henstock-Stieltjes integral and investigate some properties.

• 충청수학회지
• /
• 제21권1호
• /
• pp.79-89
• /
• 2008

In this paper, we define the ap-Henstock integral and the ap-Denjoy integral of Banach-valued functions, and we investigate some properties of these two integrals. In particular, we show that the ap-Henstock integral is equivalent to the ap-Denjoy integral.

• 충청수학회지
• /
• 제31권3호
• /
• pp.333-341
• /
• 2018

In this paper we introduce the concept of equi-integrability of sequence of the fuzzy number-valued AP-Henstock-Stieltjes integrable functions. Under this concept, we prove two convergence theorems for sequences of the fuzzy number-valued AP-Henstock-Stieltjes integrable functions.

• 충청수학회지
• /
• 제32권1호
• /
• pp.139-147
• /
• 2019

In this paper we introduce the AP-Henstock-Stieltjes integral for fuzzy-number-valued functions on infinite interval and investigate some properties.

• 충청수학회지
• /
• 제34권1호
• /
• pp.69-76
• /
• 2021

In this paper, we introduce the concept of ordered Banach space valued AP-Henstock integral and prove monotone convergence theorems for this integral.

• 충청수학회지
• /
• 제17권1호
• /
• pp.103-110
• /
• 2004

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