Integration by Parts for the Denjoy-Bochner Integral

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Abstract

In this paper, we prove two integration by parts formulas for the Denjoy-Bochner integral, and give a representation theorem for the space of Denjoy-Bochner integrable functions.

Keywords Bochner integral - Denjoy-Bochner integral - Henstock-Bochner integral

AMS Subject Classification (1991): 26A39, 28B05.

Supported By Foundation of Postdoctoral Fellow and NWNU-KJCXGC-212.

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Integration by Parts for the Denjoy-Bochner Integral

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Abstract

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