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- W2891601799 abstract "In this paper, we define the Dunford-Henstock-Kurzweil and the Dunford-McShane integrals of Banach space valued functions defined on a bounded Lebesgue measurable subset of m-dimensional Euclidean space Rm. We will show that the new integrals are natural extensions of the McShane and the Henstock-Kurzweil integrals from m-dimensional closed non-degenerate intervals to m-dimensional bounded Lebesgue measurable sets. As applications, we will present full descriptive characterizations of the McShane and Henstock-Kurzweil integrals in terms of our integrals. Moreover, a relationship between new integrals will be proved in terms of the Dunford integral." @default.
- W2891601799 created "2018-09-27" @default.
- W2891601799 creator A5074112464 @default.
- W2891601799 date "2018-09-16" @default.
- W2891601799 modified "2023-09-27" @default.
- W2891601799 title "Dunford-Henstock-Kurzweil and Dunford-Mcshane integrals of vector-valued functions defined on m-dimensional bounded sets" @default.
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