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Generalizations of Hermite–Hadamard like inequalities involving χ κ $\chi _{{\kappa }}$ -Hilfer fractional integrals
- Source :
- Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-15 (2020)
- Publication Year :
- 2020
- Publisher :
- SpringerOpen, 2020.
-
Abstract
- Abstract The main objective of this paper is to obtain a new κ-fractional analogue of Hermite–Hadamard’s inequality using the class of s-convex functions and χ κ $\chi _{{\kappa }}$ -Hilfer fractional integrals. In order to obtain other main results of the paper we derive two new fractional integral identities using the definitions of χ κ $\chi _{{\kappa }}$ -Hilfer fractional integrals. For the validity of these identities we also take some particular examples. Using these identities we then obtain some more new variants of Hermite–Hadamard’s inequality using s-convex functions.
- Subjects :
- Convex
s-convex
Fractional
Hilfer
Hermite–Hadamard inequality
Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 16871847
- Volume :
- 2020
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.862bc3731e52411580a7038e80220ef3
- Document Type :
- article
- Full Text :
- https://doi.org/10.1186/s13662-020-03059-0