Journal of Prime Research in Mathematics

Open two-point Newton-Cotes integral inequalities for differentiable convex functions via Riemann-Liouville fractional integrals

Hamida Ayed\(^{a,b}\), Badreddine Meftah\(^{c,*}\)

\(^a\)Universit´e Larbi Tebessi. T´ebessa 12000

\(^b\)Laboratoire des Surfaces et Interfaces des Couches Minces (LECIMS) universit´e Badji Mokhtar Annaba 23000

\(^c\)D´epartement des Math´ematiques, Facult´e des math´ematiques, de l’informatique et des sciences de la mati`ere, Universit´e 8 mai 1945 Guelma, Algeria


Correspondence should be addressed to:,,


In this paper, some open two-point Newton-Cotes type integral inequalities for functions whose first derivatives are convex via Riemann-Liouville fractional integrals are established. Our finding generalize some already known results. In order to illustrate the efficiency of our main results, some applications are given.


Riemann-Liouville fractional integrals, convex functions, H¨older inequality, discrete power mean inequality.