A simplified multidimensional integral

Ágnes M. Backhausz; Vilmos Komornik; Tivadar Szilágyi

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Mott, Thomas E. (1961)

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Jae Myung Park (2000)

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In this paper we study the Denjoy-Riemann and Denjoy-McShane integrals of functions mapping an interval $[a, b]$ into a Banach space $X .$ It is shown that a Denjoy-Bochner integrable function on $[a, b]$ is Denjoy-Riemann integrable on $[a, b]$ , that a Denjoy-Riemann integrable function on $[a, b]$ is Denjoy-McShane integrable on $[a, b]$ and that a Denjoy-McShane integrable function on $[a, b]$ is Denjoy-Pettis integrable on $[a, b] .$ In addition, it is shown that for spaces that do not contain a copy of $c_{0}$ , a measurable Denjoy-McShane...

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Guoju Ye, Peng Yee Lee (2003)

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