Upper and lower Henstock integrals. (English) Zbl 0941.26004

Lee, Peng Yee; Zhao, Dongsheng

Real Anal. Exch. 22(1996-97), No. 2, 734-739 (1997).

Using the concept of a contractive set-valued function defined on the set of all nondegenerate closed subintervals of \([0,1]\) the upper and lower Riemann-type integral sums are defined and it is shown that using them the Kurzweil-Henstock integral can be defined similarly as in the case of the well-known Riemann integral.

Reviewer: Š.Schwabik (Praha)

MSC:

26A39

Denjoy and Perron integrals, other special integrals

Keywords:

Henstock integral; contraction