SOME WEIGHTED MIDPOINT TYPE INEQUALITIES FOR DIFFERENTIABLE log-CONVEX FUNCTIONS

Badreddine Meftah; djaber benchettah; abdelghani lakhdari; meriem merad

doi:10.5269/bspm.65977

SOME WEIGHTED MIDPOINT TYPE INEQUALITIES FOR DIFFERENTIABLE log-CONVEX FUNCTIONS

Badreddine Meftah Département des Mathématiques, Faculté des mathématiques, de l’informatique et des sciences de la matière, Université 8 mai 1945 Guelma
djaber benchettah ecole superieure des sciences de gestion
abdelghani lakhdari Higher School of industrial Technologies, Annaba
meriem merad Département des Mathématiques, Faculté des mathématiques, de l’informatique et des sciences de la matière, Université 8 mai 1945 Guelma

Abstract

On the basis of a given integral identity, this paper purports to establish some novel
weighted midpoint type inequalities for functions whose first derivatives are log-convex. Traditional
integral inequalities, such as Holder’s inequality, are among the integral inequalities that are utilised
in proofs, in addition to fundamental definitions and conventional methods of mathematical analysis