In the present note, we have given the definition of conformable fractional integrals and some further properties. In the second part, we have established some Gruss type integral inequalities by using the bounded functions ...

One of the best ways to generalize known inequalities is to use fractional integral operators. The purpose of this paper is to obtain new generalizations of Gruss type inequalities using fractional integral operator ...

In this paper, we introduce the notation of phi-convex functions on the co-ordinates and present some properties. Also, new Hadamard type inequalities for such functions are obtained.

In this article, firstly, Hermite-Hadamard's inequality is generalized via a fractional integral operator associated with the Caputo-Fabrizio fractional derivative. Then a new kernel is obtained and a new theorem valid for ...

The main aim this work is to give Hermite-Hadamard inequalities for convex functions via generalized proportional fractional integrals. We also obtained extensions of Hermite-Hadamard type inequalities for generalized ...

Integral identities created in inequality theory studies help to prove many inequalities. Recently, different fractional integral and derivative operators have been used to achieve these identities. In this article, with ...

In this study, motivating and new findings are proved mainly by using the strong link between fractional analysis and inequality theory. Some new and general versions of the Gruss inequality, which has an important place ...

Certain Hermite-Hadamard type inequalities involving various fractional integral operators for products of two functions have, recently, been presented. We aim to establish several Hermite-Hadamard type inequalities for ...