Original scientific paper
https://doi.org/10.21857/m16wjc6rl9
Hermite-Hadamard type inequalities for generalized (s,m,φ)-preinvex Godunova-Levin functions
Artion Kashuri
orcid.org/0000-0003-0115-3079
; Department of Mathematics, Faculty of Technical Science, University "Ismail Qemali", Vlora, Albania
Rozana Liko
; Department of Mathematics, Faculty of Technical Science, University "Ismail Qemali", Vlora, Albania
Abstract
In the present paper, a new class of generalized (s,m,φ)-preinvex Godunova-Levin function of the second kind is introduced. Moreover, some left inequalities of Gauss-Jacobi type quadrature formula are given and some Hermite-Hadamard type inequalities for generalized (s,m,φ)-preinvex Godunova-Levin functions of the second kind via classical integrals are established. At the end, some applications to special means are given.
Keywords
(s,m)-Godunova-Levin function; Hölder’s inequality; power mean inequality; m-invex; P-function
Hrčak ID:
206195
URI
Publication date:
28.9.2018.
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