Hermite–Hadamard–Fejér type inequalities for p-convex functions

• Main Authors: Mehmet Kunt, İmdat İşcan
• Format: Article
• Language: English
• Published: Emerald Publishing 2017-07-01
• Series: Arab Journal of Mathematical Sciences
• Subjects: Hermite–Hadamard inequalities; Hermite–Hadamard–Fejér inequalities; Convex functions; Harmonically convex functions; p-Convex functions
• Online Access: http://www.sciencedirect.com/science/article/pii/S131951661630055X
• ISSN: 1319-5166

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.