Hadamard and Fejér-Hadamard inequalities for generalized k-fractional integrals involving further extension of Mittag-Leffler function

Abstract

In this paper, k-fractional integral operators containing further extension of Mittag-Leffler function are defined firstly. Then, the first and second version of Hadamard and Fejér-Hadamard inequalities for generalized k-fractional integrals are obtained. Finally, by using these generalized k-fractional integrals containing Mittag-Leffler functions, results for p-convex functions are obtained. The results for convex functions can be deduced by taking p=1.

Keywords

• hadamard inequality
• fejér-hadamard inequality
• convex function
• p-convex function
• k-fractional integrals
• mittag-leffler function