Fractional Hermite-Hadamard type inequalities for n-times log-convex functions

نویسندگان
Ouanas, Nawel ID 1
Merad, Meriem ID 2
Meftah, Badreddine ID 3

1 Departement des Mathematiques, Faculte des Mathematiques, de l'informatique et des sciences de la matiere, Universite 8 May 1945 Guelma, Algeria

2 Departement des Mathematiques, Faculte des Mathematiques, de l'informatique et des sciences de la matiere, Universite 8 May 1945 Guelma, Algeria

3 Laboratoire des tecommunications, Faculte des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria.

doi
10.22075/ijnaa.2018.12016.1601
چکیده

In this paper, we establish some Hermite-Hadamard type inequalities for function whose n-th derivatives are logarithmically convex by using Riemann-Liouville integral operator.

کلیدواژه‌ها
Integral inequality, log-convex function, Hölder inequality, power mean inequality