The Multiple K-Riemann Integral

The Multiple K-Riemann Integral

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...

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Veröffentlicht in:Abstract and applied analysis 2021, Vol.2021, p.1-10
Hauptverfasser: Kabbouch, Oussama, Najmeddine, Mustapha
Format: Artikel
Sprache:eng
Schlagworte:
Functional equations
Functions
Mathematical functions
Mathematical research
Riemann integral
Step functions
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Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2021/6690328