Document Zbl 0879.26035

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Notes on the approximately continuous Henstock integral. (English) Zbl 0879.26035

Real Anal. Exch. 22(1996-97), No. 1, 377-381 (1997).

Two definitions of the approximately continuous Henstock integral are presented and it is shown that they are equivalent. Moreover, it is proved that the approximately continuous Henstock integral is included in the AD integral defined by Y. Kubota.

Reviewer: Š.Schwabik (Praha)

Cited in 4 Documents

MSC:

26A39

Denjoy and Perron integrals, other special integrals

Keywords:

approximately continuous Henstock integral; AD integral of Kubota

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