Fractional Hermite-Hadamard type inequalities for functions whose mixed derivatives are co-ordinated $(\log,(s,m))$-convex

نویسندگان
Benssaad, Meryem ID 1
Ghomrani, Sarra ID 2
Meftah, Badreddine ID 3
Kaidouchi, Wahida ID 4

1 Higher Normal School of Technological Education, Skikda, Algeria

2 Higher Normal School of Technological Education, Skikda, Algeria

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

4 Higher Normal School of Technological Education, Skikda, Algeria

doi
10.22075/ijnaa.2021.24260.2705
چکیده

In this paper, we introduce the class of $(\log,(s,m))$-convexity on the co-ordinates, we establish a new identity involving the functions of two independent variables, and then we derive some fractional Hermite-Hadamard type integral inequalities for functions whose second derivatives are co-ordinated $(\log,(s,m))$-convex.

کلیدواژه‌ها
co-ordinated $(log, (s, m))$-convex, co-ordinated convex, Holder inequality