Riemann-Liouville Fractional Versions of Hadamard inequality for Strongly m-Convex Functions

被引：4
|
作者：
Farid, Ghulam [1 ]
Akbar, Saira Bano [2 ]
Rathour, Laxmi [3 ]
Mishra, Lakshmi Narayan [4 ]
Mishra, Vishnu Narayan [5 ]
机构：
[1] COMSATS Univ Islamabad, Dept Math, Attock Campus, Islamabad, Pakistan
[2] COMSATS Univ Islamabad, Dept Math, Lahore Campus, Islamabad, Pakistan
[3] Ward 16,Bhagatbandh, Anuppur 484224, Madhya Pradesh, India
[4] Vellore Inst Technol VIT Univ, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India
[5] Indira Gandhi Natl Tribal Univ, Dept Math, Anuppur 484887, Madhya Pradesh, India
来源：
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2022年 / 20卷
关键词：
m-convex function; strongly m-convex function; Hadamard inequality; Riemann-Liouville fractional integrals; DIFFERENTIABLE MAPPINGS; REAL NUMBERS;
D O I：
10.28924/2291-8639-20-2022-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with Hadamard inequalities for strongly m-convex functions via Riemann-Liouville fractional integrals. These inequalities provide refinements of well known fractional integral inequalities for convex functions. Further, by applying an identity error estimations are obtained and compared with already known error estimations.
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页数：12
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