Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions

In this paper, generalized versions of Hadamard and Fejér–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically convex functions are generalized. The results of t...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2021, Vol.2021, p.1-13
Main Authors: Yussouf, M., Farid, G., Khan, K. A., Jung, Chahn Yong
Format: Article
Language:English
Subjects:
Convex analysis
Fractional calculus
Inequalities
Inequality
Integrals
Mathematical functions
Mathematics
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Summary:In this paper, generalized versions of Hadamard and Fejér–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically convex functions are generalized. The results of this paper are connected with various published fractional integral inequalities.
ISSN:2314-4629
2314-4785
DOI:10.1155/2021/5589405