Fractional integral inequalities for h-convex functions via Caputo-Fabrizio operator

被引：4

作者：

Chen, Lanxin ^{[1
]}

Zhang, Junxian ^{[1
]}

Saleem, Muhammad Shoaib ^{[2
]}

Ahmed, Imran ^{[3
]}

Waheed, Shumaila ^{[2
]}

Pan, Lishuang ^{[1
]}

机构：

[1] Shijiazhuang Univ, Sci Coll, Shijiazhuang 050035, Hebei, Peoples R China

[2] Univ Okara, Dept Math, Okara, Pakistan

[3] COMSATS Univ Islamabad, Dept Math, Lahore Campus, Lahore, Pakistan

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 06期

关键词：

Capoto-Fabrizio fractional operator; h-convexity; Hermite-Hadamard type inequality; DIFFUSION; HADAMARD; MEMORY;

D O I：

10.3934/math.2021374

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study h convex functions and present some inequalities of Caputo-Fabrizio fractional operator. Precisely speaking, we presented Hermite-Hadamard type inequality via h convex function involving Caputo-Fabrizio fractional operator. We also presented some new inequalities for the class of h convex functions. Moreover, we also presented some applications of our results in special means which play a significant role in applied and pure mathematics, especially the accuracy of a results can be confirmed by through special means.

引用

页码：6377 / 6389

页数：13

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