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

RICERCHE DI MATEMATICA(2024)

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摘要
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.
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关键词
Hermite-Hadamard inequality,q-integral,T-q-integral,Quantum calculus,Co-ordinated convexity
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