The Multiple K-Riemann Integral. (22nd April 2021)

• Record Type: Journal Article
• Authors: Kabbouch, Oussama; Najmeddine, Mustapha
• Other Names: Cheung Wing-Sum Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2021(2021)
• Publication Date: 2021-04-22
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2021/6690328
• Languages: English
• ISSNs: 1085-3375

Abstract

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.