Properties of -convex functions related to the Hermite–Hadamard–Fejér inequalities

✍ Scribed by Mea Bombardelli; Sanja Varošanec

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 525 KB
• Volume: 58
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2009.07.073

✦ Synopsis

In this paper we prove the Hermite-Hadamard-Fejér inequalities for an h-convex function and we point out the results for some special classes of functions. Also, some generalization of the Hermite-Hadamard inequalities and some properties of functions H and F which are naturally joined to the h-convex function are given. Finally, applications on p-logarithmic mean and mean of the order p are obtained.