Hermite-Hadamard-Fejer Type Inequalities for <i>p</i>-Convex Functions via Fractional Integrals

作     者：Kunt, Mehmet Iscan, Imdat 

作者机构：Karadeniz Tech Univ Dept Math Fac Sci TR-61080 Trabzon Turkey Giresun Univ Fac Sci & Arts Dept Math TR-28200 Giresun Turkey 

出 版 物：《IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE》 (Iran. J. Sci. Technol., Trans. A: Sci.)

年 卷 期：2018年第42卷第A4期

页      面：2079-2089页

核心收录：

学科分类：07[理学] 08[工学] 

主　　题：Hermite-Hadamard inequalities Hermite-Hadamard-Fejer inequalities Fractional integrals Convex functions Harmonically convex functions p-Convex functions 

摘      要：In this paper, firstly, Hermite-Hadamard-Fejer type inequalities for p-convex functions in fractional integral forms are built. Secondly, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for p-convex functions in fractional integral forms are obtained. Finally, some Hermite-Hadamard and Hermite-Hadamard-Fejer inequalities for convex, harmonically convex and p-convex functions are given. Many results presented here for p-convex functions provide extensions of others given in earlier works for convex, harmonically convex and p-convex functions.