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The Hermite-Hadamard inequalities are common research topics explored in different dimensions. For any interval [b₀, b₁]⊂, we construct the idea of the Hermite-Hadamard inequality, its different kinds, and its generalization in symmetric quantum calculus at b₀∈[b₀, b₁]⊂. We also construct parallel results for the Hermite-Hadamard inequality, its different types, and its generalization on other end point b₁, and provide some examples as well. Some justification with graphical analysis is provided as well. Finally, with the assistance of these outcomes, we give a midpoint type inequality and some of its approximations for convex functions in symmetric quantum calculus.
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Butt et al. (2024) studied this question.
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