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An integral involving Thomson’s local systems. (English) Zbl 0802.26004

B. S. Thomson [“Real functions” (1985; Zbl 0581.26001)] defined a system of neighbourhoods for his theory of differentiation. The authors used this system to develop an integration of Henstock type and proved that it is equivalent to a descriptive definition using the same system. The theory includes the Henstock integral, the approximately continuous integral of Burkill and the dyadic integral.

MSC:

26A39 Denjoy and Perron integrals, other special integrals

Citations:

Zbl 0581.26001
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