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- Title
Jensen-Mercer Type Inequalities in the Setting of Fractional Calculus with Applications.
- Authors
Bin-Mohsin, Bandar; Javed, Muhammad Zakria; Awan, Muhammad Uzair; Mihai, Marcela V.; Budak, Hüseyin; Khan, Awais Gul; Noor, Muhammad Aslam
- Abstract
The main objective of this paper is to establish some new variants of the Jensen–Mercer inequality via harmonically strongly convex function. We also propose some new fractional analogues of Hermite–Hadamard–Jensen–Mercer-like inequalities using AB fractional integrals. In order to obtain some of our main results, we also derive new fractional integral identities. To demonstrate the significance of our main results, we present some interesting applications to special means and to error bounds as well.
- Subjects
FRACTIONAL calculus; FRACTIONAL integrals; CONVEX functions; HARMONIC functions
- Publication
Symmetry (20738994), 2022, Vol 14, Issue 10, pN.PAG
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym14102187