The multiple \(\mathbb{K} \)-Riemann integral (Q2664875)

Summary: The aim of this paper is to extend the notion of \(\mathbb{K} \)-Riemann integrability of functions defined over \(\left[ a, b\right]\) to functions defined over a rectangular box of \(\mathbb{R}^n\). As a generalization of step functions, we introduce a notion of \(\mathbb{K} \)-step functions which allows us to give an equivalent definition of the \(\mathbb{K} \)-Riemann integrable functions.