HERMITE-HADAMARD TYPE INEQUALITIES FOR GENERALIZED (s, m, φ)-PREINVEX GODUNOVA-LEVIN FUNCTIONS
Keywords:
Hermite-Hadamard inequality, Hölder's inequality, Minkowski's inequality, power mean inequality, Riemann-Liouville fractional integral, m-invex, P-functionAbstract
In the present paper, the notion of (m, φ)-invex set and generalized (s, m, φ)-preinvex Godunova-Levin function of second kind are introduced and some new integral inequalities involving generalized (s, m, φ)-preinvex Godunova-Levin function of second kind along with beta function are given. By using new identities for fractional integrals some new estimates on generalizations of Hermite-Hadamard type inequalities for generalized (s, m, φ)-preinvex Godunova-Levin functions of second kind via Riemann-Liouville fractional integral are established. At the end, some applications to special means are given.
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Copyright (c) 2018 Artion Kashuri, Rozana Liko
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
