On Strongly Convex Functions via Caputo-Fabrizio-Type Fractional Integral and Some Applications

被引：8
|
作者：
Li, Qi [1 ]
Saleem, Muhammad Shoaib [2 ]
Yan, Peiyu [1 ]
Zahoor, Muhammad Sajid [2 ]
Imran, Muhammad [2 ]
机构：
[1] Shandong Huayu Univ Technol, Basic Teaching Dept, Dezhou 253034, Shandong, Peoples R China
[2] Univ Okara, Dept Math, Okara, Pakistan
来源：
JOURNAL OF MATHEMATICS | 2021年 / 2021卷
关键词：
EXPONENTIAL KERNEL; INEQUALITIES; DERIVATIVES; HADAMARD;
D O I：
10.1155/2021/6625597
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The theory of convex functions plays an important role in the study of optimization problems. The fractional calculus has been found the best to model physical and engineering processes. The aim of this paper is to study some properties of strongly convex functions via the Caputo-Fabrizio fractional integral operator. In this paper, we present Hermite-Hadamard-type inequalities for strongly convex functions via the Caputo-Fabrizio fractional integral operator. Some new inequalities of strongly convex functions involving the Caputo-Fabrizio fractional integral operator are also presented. Moreover, we present some applications of the proposed inequalities to special means.
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页数：10
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