Caputo Fractional Derivative Hadamard Inequalities for Strongly m-Convex Functions

被引：7
|
作者：
Feng, Xue [1 ]
Feng, Baolin [2 ]
Farid, Ghulam [3 ]
Bibi, Sidra [4 ]
Xiaoyan, Qi [1 ]
Wu, Ze [1 ]
机构：
[1] Aviat Univ Air Force, Fundamental Dept, Changchun 130000, Jilin, Peoples R China
[2] Mudanjiang Normal Univ, Sch Math Sci Mudanjiang, Mudanjiang 157011, Heilongjiang, Peoples R China
[3] COMSATS Univ Islamabad, Dept Math, Attock Campus, Islamabad, Pakistan
[4] Govt Girls Primary Sch, Kamra Khurd 43570, Attock, Pakistan
来源：
JOURNAL OF FUNCTION SPACES | 2021年 / 2021卷
关键词：
D O I：
10.1155/2021/6642655
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, two versions of the Hadamard inequality are obtained by using Caputo fractional derivatives and strongly m-convex functions. The established results will provide refinements of well-known Caputo fractional derivative Hadamard inequalities for m-convex and convex functions. Also, error estimations of Caputo fractional derivative Hadamard inequalities are proved and show that these are better than error estimations already existing in literature.
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页数：11
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