• 충청수학회지
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• 제30권1호
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• pp.151-157
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• 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.

• 대한수학회논문집
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• 제37권2호
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• pp.415-421
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• 2022

This paper presents a fundamental theorem of calculus, an integration by parts formula and a version of equiintegrability convergence theorem for the M_α-integral using the M_α-strong Lusin condition. In the convergence theorem, to be able to relax the condition of being point-wise convergent everywhere to point-wise convergent almost everywhere, the uniform M_α-strong Lusin condition was imposed.