Refinements of Some Integral Inequalities for s,m-Convex Functions

In this paper, the refinements of integral inequalities for all those types of convex functions are given which can be obtained from s,m-convex functions. These inequalities not only provide refinements of bounds for unified integral operators but also for various associated fractional integral oper...

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Bibliographic Details
Published in:Mathematical problems in engineering 2020, Vol.2020 (2020), p.1-13
Main Authors: Pečarić, Josip, Jung, Chahn Yong, Andrić, Maja, Chu, Yu-Ming, Farid, Ghulam, Kang, Shin Min
Format: Article
Language:English
Subjects:
Convex analysis
Engineering
Graphs
Inequalities
Inequality
Integrals
Mathematical functions
Operators (mathematics)
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Summary:In this paper, the refinements of integral inequalities for all those types of convex functions are given which can be obtained from s,m-convex functions. These inequalities not only provide refinements of bounds for unified integral operators but also for various associated fractional integral operators containing Mittag–Leffler function. At the same time, presented results give generalizations of many known fractional integral inequalities.
ISSN:1024-123X
1563-5147
DOI:10.1155/2020/8878342