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Opial-type inequalities for conformable fractional integrals

Sarikaya Mehmet Zeki, Budak Hüseyin

Journal of Applied Analysis

2019

Vol. 25, nr 2

155--163

In this paper, we establish the Opial-type inequalities for a conformable fractional integral and give some results in special cases of α. The results presented here would provide generalizations of those given in earlier works.

Some new fractional Fejér type inequalities for convex functions

Set E., Mumcu Î.

Fasciculi Mathematici

2017

Nr 59

145--157

In this paper, firstly, a new identity for conformable fractional integrals is established. Then by making use of the established identity, some new fractional Fejér type inequalities are established. The results presented here have some relationships with the results of Set et al. (2015), proved in [6].