Refinements and Generalizations of Some Fractional Integral Inequalities via Strongly Convex Functions

In this article, we have established the Hadamard inequalities for strongly convex functions using generalized Riemann–Liouville fractional integrals. The findings of this paper provide refinements of some fractional integral inequalities. Furthermore, the error bounds of these inequalities are give...

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Bibliographic Details
Published in:Mathematical problems in engineering 2021, Vol.2021, p.1-18
Main Authors: Farid, Ghulam, Yasmeen, Hafsa, Jung, Chahn Yong, Shim, Soo Hak, Ha, Gaofan
Format: Article
Language:English
Subjects:
Calculus
Convex analysis
Fractional calculus
Hypothesis testing
Identities
Inequalities
Integrals
Linear algebra
Mathematical functions
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Summary:In this article, we have established the Hadamard inequalities for strongly convex functions using generalized Riemann–Liouville fractional integrals. The findings of this paper provide refinements of some fractional integral inequalities. Furthermore, the error bounds of these inequalities are given by using two generalized integral identities.
ISSN:1024-123X
1563-5147
DOI:10.1155/2021/6667226