Some new and general versions of q-Hermite-Hadamard-Mercer inequalities

Abstract

In this paper, we establish two new different and general variants of q-Hermite--Hadamard-Mercer inequalities by using the newly defined q-integrals. The main edge of these inequalities is that they can be converted into some existing and new inequalities for different choices of q∈(0,1) and λ∈(0,1]. Finally, we study some mathematical examples to assure the validity of newly established inequalities.