Equivalences of Riemann Integral Based on p-Norm

Autor: Ray-Ming Chen
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Mathematics, Vol 6, Iss 9, p 168 (2018)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math6090168
Popis: In the usual Riemann integral setting, the Riemann norm or a mesh is adopted for Riemann sums. In this article, we use the p-norm to define the p-integral and show the equivalences between the Riemann integral and the p-integral. The p-norm provides an alternative approach to define the Riemann integral. Based on this norm, we also derive some other equivalences of the Riemann integral and the p-integral.
Databáze: Directory of Open Access Journals