Skip to the main content

Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 534=22, 2018.

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 id 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

Full text: english pdf 175 Kb

page 63-75

downloads: 490

cite

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

https://hrcak.srce.hr/206195

Publication date:

28.9.2018.

Visits: 1.212 *