Hermite-Hadamard Type Inequalities Involving (k-p) Fractional Operator for Various Types of Convex Functions

被引：24

作者：

Stojiljkovic, Vuk ^{[1
]}

Ramaswamy, Rajagopalan ^{[2
]}

Alshammari, Fahad ^{[2
]}

Ashour, Ola A. ^{[2
,3
]}

Alghazwani, Mohammed Lahy Hassan ^{[2
]}

Radenovic, Stojan ^{[4
]}

机构：

[1] Univ Novi Sad, Fac Sci, Trg Dositeja Obradovica 3, Novi Sad 21000, Serbia

[2] Prince Sattam Bin Abdulaziz Univ, Dept Math, Coll Sci & Humanities, Al Kharj 16278, Saudi Arabia

[3] Cairo Univ, Dept Math, Cairo 12613, Egypt

[4] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Belgrade 11120, Serbia

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 07期

关键词：

Hermite-Hadamard inequality; (h; m)-convex function; Holder inequality; (p; h)-convex function; fractional inequality;

D O I：

10.3390/fractalfract6070376

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish various fractional convex inequalities of the Hermite-Hadamard type with addition to many other inequalities. Various types of such inequalities are obtained, such as (p,h) fractional type inequality and many others, as the (p,h)-convexity is the generalization of the other convex inequalities. As a consequence of the (h,m)-convexity, the fractional inequality of the (s,m)-type is obtained. Many consequences of such fractional inequalities and generalizations are obtained.

引用

页数：15

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