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The Multiple K‐Riemann Integral

Oussama Kabbouch and Mustapha Najmeddine

Abstract and Applied Analysis, 2021, vol. 2021, issue 1

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 ℝn. 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.

Date: 2021
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https://doi.org/10.1155/2021/6690328

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