Hadamard and Fejér–Hadamard inequalities for extended generalized fractional integrals involving special functions

Abstract

Abstract In this paper we prove the Hadamard and the Fejér–Hadamard inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler function. The extended generalized Mittag-Leffler function includes many known special functions. We have several such inequalities corresponding to special cases of the extended generalized Mittag-Leffler function. Also there we note the known results that can be obtained.

Keywords

• Convex function
• m-convex functions
• Hadamard inequality
• Fejér–Hadamard inequality
• Fractional integrals
• Extended generalized Mittag-Leffler function