Abstract
The C-integral was introduced by Bongiorno as a minimal constructive
integration process of Riemann type which contains the Lebesgue integral and the
Newton integral. Moreover Bongiorno, Piazza and Preiss gave some criteria for the
C-integral. On the other hand, Nakanishi gave some criteria for the restricted Denjoy
integral. In this paper we will give new criteria for the C-integral in the style of
Nakanishi.
