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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].

Generalized Ostrowski type inequalities for functions whose local fractional derivatives are generalized s-convex in the second sense

Budak H., Sarikaya M. Z., Set E.

Journal of Applied Mathematics and Computational Mechanics

2016

Vol. 15, nr 4

11-21

In this paper, we establish some generalized Ostrowski type inequalities for functions whose local fractional derivatives are generalized s-convex in the second sense.

Some Ostrowski’s type inequalities for functions whose second derivatives are s-convex in the second sense

Set E., Sarikaya M. Z., Ozdemir M. E.

Demonstratio Mathematica

2014

Vol. 47, nr 1

37--47

Some new inequalities of the Ostrowski type for twice differentiable mappings whose derivatives in absolute value are s-convex in the second sense are given.