On Henstock-Dunford and Henstock-Pettis integrals

Ye Guoju and An Tianqing

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 25, 1-12

Abstract:

We give the Riemann-type extensions of Dunford integral and Pettis integral, Henstock-Dunford integral and Henstock-Pettis integral. We discuss the relationships between the Henstock-Dunford integral and Dunford integral, Henstock-Pettis integral and Pettis integral. We prove the Harnack extension theorems and the convergence theorems for Henstock-Dunford and Henstock-Pettis integrals.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:671381

DOI: 10.1155/S0161171201002381

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