The Multiple K-Riemann Integral. (22nd April 2021) - Kabbouch, Oussama
Abstract : The aim of this paper is to extend the notion of K -Riemann integrability of functions defined over a, b to functions defined over a rectangular box of ℝ n . As a generalization of step functions, we introduce a notion of K -step functions which allows us to give an equivalent definition of the K -Riemann integrable functions.