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 ? ? (0, 1] . Finally, we study some mathematical examples to assure the validity of newly established inequalities.
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