Tuba Tunç

On generalized some integral inequalities for local fractional integrals

In this study, we establish generalized Gruss type inequality and some generalized ?ebysev type inequalities for local fractional integrals on fractal sets Rα (0 <α ? 1) of real line numbers.

Some generalized integral inequalities for convex functions and applications

In this paper, some new integral inequalities and their applications to special means of real numbers will be given using generalized Hermite-Hadamard’s integral inequalities and Simpson’s type inequalities holding for convex functions. Our results presented here would provide extensions of those given in earlier works.

SIMPSON’S TYPE INEQUALITY FOR F-CONVEX FUNCTION

In this paper, we obtain Simpson’s type inequality for the function whose second derivatives absolute values are F-convex. Then, we give some special cases of the mappings F.

On Grüss type inequalities utilizing generalized fractional integral operators

In this paper, some upper bounds of Gruss type inequalities are proven in the general sense for generalised fractional integral operators thus we unify corresponding integer and fractional order versions.

On Hermite Hadamard-type inequalities depending on the metric functions

In this paper, a version of Hermite Hadamard-type inequalities for (d, t)-convex functions are established. And then we give some new inequalities of the Hermite–Hadamard type for the product of two (d, t)-convex functions.