Fractional inequalities of the Hermite-Hadamard type for m-polynomial convex and harmonically convex functions

被引：12

作者：

Nwaeze, Eze R. ^{[1
]}

Khan, Muhammad Adil ^{[2
]}

Ahmadian, Ali ^{[3
]}

Ahmad, Mohammad Nazir ^{[3
]}

Mahmood, Ahmad Kamil ^{[4
]}

机构：

[1] Alabama State Univ, Dept Math & Comp Sci, Montgomery, AL 36101 USA

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

[3] Natl Univ Malaysia, Inst IR 4 0, Bangi 43600, Selangor, Malaysia

[4] Univ Teknol Petronas, CISD, Ctr High Performance Comp, Seri Iskandar, Perak, Malaysia

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 02期

关键词：

Hermite-Hadamard; m-polynomial convex; m-polynomial harmonically convex; Riemann-Liouville; Caputo-Fabrizio; INTEGRAL-INEQUALITIES;

D O I：

10.3934/math.2021115

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, it is our purpose to establish some new fractional inequalities of the Hermite-Hadamard type for the m-polynomial convex and harmonically convex functions. Our results involve the Caputo-Fabrizio and zeta-Riemann-Liouville fractional integral operators. They generalize, complement and extend existing results in the literature. By taking m >= 2, we deduce loads of new and interesting inequalities. We expect that the thought laid out in this work will provoke advance examinations in this course.

引用

页码：1889 / 1904

页数：16

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