Some new q-Hermite-Hadamard type inequalities for the product of convex functions

Abstract

In this paper, we first obtain some q-Hermite-Hadamard type inequalities for the product of two convex functions. Then by using the product of two co-ordinated convex functions, we establish new q-Hermite-Hadamard type inequalities. The results in this work generalize several results obtained in earlier studies.

Subject Classification:

• 26D10
• 26A51
• 26D15

Keywords:

• Hermite-Hadamard inequality
• q-integral
• Convex function
• Co-ordinated convex function