Hermite-Hadamard type inequalities for p-convex functions via fractional integrals

Moroccan Journal of Pure and Applied Analysis

İşcan İmdat¹  Kunt Mehmet² 

[1] Department of Mathematics, Faculty of Sciences and Arts, Giresun University, 28200, Giresun, Turkey;Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, 61080, Trabzon, Turkey;

关键词: hermite-hadamard inequalities,fractional integral;    convex functions;    harmonically convex functions;    p-convex functions;   

DOI  :  10.1515/mjpaa-2017-0003

来源: DOAJ

【 摘 要 】

In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms. We give some Hermite-Hadamard type inequalities for convex, harmonically convex and p-convex functions. Some results presented in this paper for p-convex functions, provide extensions of others given in earlier works for convex, harmonically convex and p-convex functions.

【 授权许可】

Unknown