On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions

Abstract

The present paper aims to find some new midpoint-type inequalities for twice quantum differentiable convex functions. The consequences derived in this paper are unification and generalization of the comparable consequences in the literature on midpoint inequalities.

Keywords

• hermite-hadamard inequality
• q-integral
• quantum calculus
• convex function
• 26d10
• 26d15
• 26a51