On generalizations related to the left side of Fejer's inequality via fractional integral operator

Abstract. In the paper, firstly, a new fractional integral identity is obtained. Then, some new results related to the left side of Fejér’s inequality for differentiable mappings whose derivatives in absolute value are convex via fractional integral operator, using this identity with fundamental inequalities such as Hölder’s integral inequality, power-mean inequality and triangle inequality for integral, are presented. The results presented here would provide extensions of those proved in [11]. 2010 Mathematics Subject Classification: 26A33; 26D10; 26D15