Mathematics and Statistics Vol. 2(1), pp. 6 - 14
DOI: 10.13189/ms.2014.020102
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On Some New Inequalities for Differentiable (h₁,h₂)– Preinvex Functions on the Co-Ordinates

Marian Matłoka ^*
Department of Applied Mathematics, Poznań University of Economics, Al. Niepodległości 10, 61-875 Poznań, Poland

ABSTRACT

We consider and study a new class of convex functions that are called- (h₁,h₂)preinvex functions on the co-ordinates. Some Hermite-Hadamard inequalities for the (h₁,h₂)– preinvex functions on the co-ordinates and its variant forms are derived. Some our theorems are new and other generalize some results of Dragomir and Latif.

KEYWORDS
(h₁,h₂) - Preinvex Function on the Co-Ordinates, Hermite-Hadamard Type Inequality, Convex Function

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Marian Matłoka , "On Some New Inequalities for Differentiable (h₁,h₂)– Preinvex Functions on the Co-Ordinates," Mathematics and Statistics, Vol. 2, No. 1, pp. 6 - 14, 2014. DOI: 10.13189/ms.2014.020102.

(b). APA Format:
Marian Matłoka (2014). On Some New Inequalities for Differentiable (h₁,h₂)– Preinvex Functions on the Co-Ordinates. Mathematics and Statistics, 2(1), 6 - 14. DOI: 10.13189/ms.2014.020102.