- Journal of New Theory
- Issue: 10
- HERMITE-HADAMARD’S INEQUALITIES FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE (s,m)-PREINVEX IN THE SECO...
HERMITE-HADAMARD’S INEQUALITIES FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE (s,m)-PREINVEX IN THE SECOND SENSE
Authors : Badreddine Meftah
Pages : 54-65
View : 12 | Download : 7
Publication Date : 2016-03-01
Article Type : Research
Abstract :Abstaract−In this paper, we introduce a new class of convex functions which is called (s, m)- preinvex functions in the second sense then we establish some new Hermite-Hadamard’s inequalities whose modulus of the first derivatives are in this novel classKeywords : −Hermite-Hadamard inequality, Hölder’s inequality, power mean inequality