New Hadamard's Inequality for $( \alpha _{1}, m_{1})$-$( \alpha _{2}, m_{2})$-Preinvex Functions on the Co-Ordinates

khaled boukerrioua, B. Meftah, T. Chiheb

Abstract


In this paper, we introduce some new classes of convex functions called $(\alpha,m)$-preinvex, $(\alpha _{1},m_{1})$-$(\alpha _{2},m_{2})$-preinvexfunctions on the co-ordinates, and then we derive some new Hermite-Hadamardtype inequalities whose modulus of their mixed derivatives lies in thesenovel classes of functions.

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|ISSN 1686-0209|