Strongly (g,h;α − m)-convex functions and the consequent Hermite–Hadamard-type inequalities

Abstract

In this paper, we define a new class of strongly [Formula: see text]-convex functions. Some important implications are listed and related with already known classes. Hermite–Hadamard-type inequalities are established for this new class of functions. Several particular cases are analysed. All the inequalities are established for Riemann–Liouville fractional integrals, and these are generalizations of ordinary integral inequalities.

Keywords

• Convex function
• strongly convex function
• -convex function
• Hermite–Hadamard inequality
• mathematical operators
• 26A24