GENERALIZED TRAPEZOID INEQUALITY FOR MULTIPLICATIVELY CONVEX FUNCTIONS

Abdelghani Lakhdari; Badreddine Meftah; Djaber chemseddine Benchettah

doi:10.5269/bspm.66248

GENERALIZED TRAPEZOID INEQUALITY FOR MULTIPLICATIVELY CONVEX FUNCTIONS

Abdelghani Lakhdari Higher school od industrial technologies, annaba
Badreddine Meftah D´epartement des Math´ematiques, Facult´e des math´ematiques, de l’informatique et des sciences de la mati`ere, Universit´e 8 mai 1945 Guelma, Algeria.
Djaber chemseddine Benchettah Higher School of Management Sciences, Annaba, Algeria.

Abstract

In this paper, we first prove a new identity for multiplicative differentiable functions. Based on this identity, we establish a generalized trapezoid inequality for multiplicatively convex functions. Applications to special means are also given.