In this paper, firstly, Hermite–Hadamard–Fejér type inequalities for p -convex functions are built. Secondly, an integral identity and some Hermite–Hadamard–Fejér type integral inequalities for p -convex functions are obtained. Finally, some Hermite–Hadamard and Hermite–Hadamard–Fejér inequalities for convex, harmonically convex and p -convex functions are given. Some results presented here for p -convex functions provide extensions of others given in earlier works for convex and harmonically convex and p -convex functions.
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Kunt et al. (2016) studied this question.
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