SEVERAL NEW INTEGRAL INEQUALITIES VIA K-RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS OPERATORS

Abstract

The main objective of this paper is to establish several new integral inequalities including k-Riemann – Liouville fractional integrals for convex, s-Godunova – Levin convex functions, quasiconvex, η-quasi-convex. In order to obtain our results, we have used classical inequalities as H¨older inequality, Power mean inequality and Weighted H¨older inequality. We also give some applications.

Keywords

• η-quasi-convex
• s-godunova – levin type
• k-riemann – liouville fractional integral
• h¨older inequality
• weighted h¨older inequality