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The Multiple K -Riemann Integral
Author(s) -
Oussama Kabbouch,
Mustapha Najmeddine
Publication year - 2021
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2021/6690328
Subject(s) - mathematics , riemann hypothesis , generalization , algebra over a field , pure mathematics , mathematical analysis
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.

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