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On Hermite–Hadamard type inequalities for newly defined generalized quantum integrals

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In this paper, we first introduce four new generalized quantum integrals of two variables functions which are called $$T_{q}$$ -integrals. We also give some examples of each of these given… Click to show full abstract

In this paper, we first introduce four new generalized quantum integrals of two variables functions which are called $$T_{q}$$ -integrals. We also give some examples of each of these given integrals. Then we establish corresponding $$T_{q}$$ -Hermite–Hadamard type inequalities for co-ordinated convex functions. In order to show correctness of our results, we apply our main theorems to several co-ordinated convex functions.

Keywords: quantum integrals; hadamard type; generalized quantum; hermite hadamard; type inequalities

Journal Title: Ricerche di Matematica
Year Published: 2021

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