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Some Hermite-Hadamard and midpoint type inequalities in symmetric quantum calculus
AIMS Mathematics 2024, 9(3): 5523-5549
Published: 15 March 2024
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The Hermite-Hadamard inequalities are common research topics explored in different dimensions. For any interval [ b 0 , b 1 ] , we construct the idea of the Hermite-Hadamard inequality, its different kinds, and its generalization in symmetric quantum calculus at b 0 [ b 0 , b 1 ] . We also construct parallel results for the Hermite-Hadamard inequality, its different types, and its generalization on other end point b 1 , 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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