Mathematical analysis reveals new Hermite–Hadamard inequalities for (h, m)-convex functions, demonstrating the utility of Fourier transforms in integral inequality theory.
The objective of this note is to establish new versions of the Hermite–Hadamard inequalities, for ( h , m )-convex functions of the second type, by means of a completely new approach: the Fourier Transform.
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Valdés et al. (2026) studied this question.
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