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Hermite–Hadamard-type inequalities via different convexities with applications

Hermite–Hadamard-type inequalities via different convexities with applications

Abstract In this paper, we explore a class of Hermite–Hadamard integral inequalities for convex and m -convex functions. The Hölder inequality is used to create this class, which has a wide range of applications in optimization theory. Some trapezoid-type inequalities and midpoint error estimates are investigated. Inequalities for several q …