The N-integral

• Main Authors: Racca, Abraham P, Cabral, Emmanuel A
• Format: text
• Published: Archīum Ateneo 2020
• Subjects: N-integral; continuity almost everywhere; Henstock-Kurzweil integral; Applied Mathematics; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/150; https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1149&context=mathematics-faculty-pubs
• Institution: Ateneo De Manila University

In this paper, we introduced a Henstock-type integral named $N$-integral of a real valued function $f$ on a closed and bounded interval $[a,b]$. The $N$-integrable functions lie entirely between Riemann integrable functions and Henstock integrable functions. It was shown that for a Henstock integrab...