ON INEQUALITIES INVOLVING CONVEX FUNCTIONS AND INTEGRAL CONDITIONS

Abstract

In this paper, using the Riemann-Liouville fractional integral operator, we establish new results that generalize some theorems of the work: [A note on some new fractional results involving convex functions. Acta Math. Univ. Comenianae, Vol. LXXXI, 2, 2012]. We also discuss other integral inequalities generalizing some theorems in the paper: [Some new results of two open problems related to integral inequalities, Journal of Mathematical Inequalities, 10(3), 2016 ].