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Jensen-Mercer Type Inequalities in the Setting of Fractional Calculus with Applications.
- Source :
-
Symmetry (20738994) . Oct2022, Vol. 14 Issue 10, pN.PAG-N.PAG. 23p. - Publication Year :
- 2022
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FRACTIONAL calculus
*FRACTIONAL integrals
*CONVEX functions
*HARMONIC functions
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 14
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Symmetry (20738994)
- Publication Type :
- Academic Journal
- Accession number :
- 159942467
- Full Text :
- https://doi.org/10.3390/sym14102187