New Hadamard’s Inequality for (α1, m1)-(α2, m2)-Preinvex Functions on the Co-Ordinates: khaled boukerrioua, B. Meftah, T. Chiheb

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New Hadamard’s Inequality for (α1, m1)-(α2, m2)-Preinvex Functions on the Co-Ordinates

khaled boukerrioua, B. Meftah, T. Chiheb

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Keywords:

Hermite-Hadamard inequality, preinvex functions, co-ordinates (α1, m1)-(α2, m2)-preinvex

Abstract

In this paper, we introduce some new classes of convex functions called (α, m)-preinvex, (α1, m1)-(α2, m2)-preinvex functions on the co-ordinates, and then we derive some new Hermite-Hadamard type inequalities whose modulus of their mixed derivatives lies in these novel classes of functions.

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Published

2018-12-01

How to Cite

Team, S. (2018). New Hadamard’s Inequality for (α1, m1)-(α2, m2)-Preinvex Functions on the Co-Ordinates: khaled boukerrioua, B. Meftah, T. Chiheb. Thai Journal of Mathematics, 16(3), 613–641. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/818