New mappings improve quantum integral properties and refine inequalities for quantum integrals, suggesting enhanced mathematical tools.
In this study, we first introduce two functions including quantum integrals. Then, we prove some properties of these mappings such as convexity and monotony. Moreover, by using the newly defined mappings, we prove some refinements of the left hand side of Hermite-Hadamard inequality for left and right quantum integrals.
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HÜSEYİN Budak (2026) studied this question.
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