Abstract

A powerful generalization of the Riemann integral has been introduced by making an innocent-looking modification in the usual definition. This generalized Riemann integral was defined in 1957 by Kurzweil [6]. It was independently defined and extensively studied and generalized by Henstock [3-51 who called it the Riemann-complete integral. Although this integral has been popularized somewhat (cf. [7]), it still is not as well known as it deserves to be. Among the virtues of this powerful integral are the following:

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