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

Authors

  • Hamida Ayed (1) Universit´e Larbi Tebessi. T´ebessa 12000. (2) Laboratoire des Surfaces et Interfaces des Couches Minces (LECIMS) universit´e Badji Mokhtar Annaba 23000.
  • Badreddine Meftah 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.

Keywords:

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

Abstract

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.

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Published

2023-12-31

Issue

Vol. 19 No. 2 (2023): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

Open two-point Newton-Cotes integral inequalities for differentiable convex functions via Riemann-Liouville fractional integrals. (2023). Journal of Prime Research in Mathematics, 19(2), 24–36. https://jprm.sms.edu.pk/index.php/jprm/article/view/214