Title of article :
On the Hermite-Hadamard-Fejer-type inequalities for co-ordinated convex functions via fractional integrals
Author/Authors :
Yaldız, Hatice Department of Mathematics - Faculty of Science and Arts - D ̈uzce University, Turkey , Zeki Sarıkaya, Mehmet Department of Mathematics - Faculty of Science and Arts - D ̈uzce University, Turkey , Dahmanib, Zoubir Laboratory of Pure and Applied Mathematics - UMAB - University of Mostaganem, Algeria
Abstract :
In this paper, using Riemann-Liouville integral operators, we establish new fractional in- tegral inequalities of Hermite-Hadamard-Fejer type for co-ordinated convex functions on a rectangle of R^2. The results presented here would provide extensions of those given in earlier works.
Keywords :
Riemann-Liouville fractional integrals , convex function , co-ordinated convex mapping , Hermite-Hadamard-Fejer inequality
Journal title :
International Journal of Optimization and Control: Theories and Applications
