Hermite–Hadamard–Fejér Type Inequalities for p-Convex Functions via Fractional Integrals

被引：0
作者：
Mehmet Kunt
İmdat İşcan
机构：
[1] Karadeniz Technical University,Department of Mathematics, Faculty of Sciences
[2] Giresun University,Department of Mathematics, Faculty of Sciences and Arts
来源：
Iranian Journal of Science and Technology, Transactions A: Science | 2018年 / 42卷
关键词：
Hermite–Hadamard inequalities; Hermite–Hadamard–Fejér inequalities; Fractional integrals; Convex functions; Harmonically convex functions; -Convex functions; 26A51; 26A33; 26D10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, firstly, Hermite–Hadamard–Fejér type inequalities for p-convex functions in fractional integral forms are built. Secondly, an integral identity and some Hermite–Hadamard–Fejér type integral inequalities for p-convex functions in fractional integral forms are obtained. Finally, some Hermite–Hadamard and Hermite–Hadamard–Fejér 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.
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页码：2079 / 2089
页数：10
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