MMN-2275
On generalizations related to the left side of Fejer's inequality via fractional integral operator
Erhan Set; Baris Celik;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 [12].
Vol. 18 (2017), No. 2, pp. 1043-1057
DOI: 10.18514/MMN.2017.2275