Open Access Research

On some new inequalities for differentiable co-ordinated convex functions

MA Latif1* and SS Dragomir2

Author Affiliations

1 College of Science, Department of Mathematics, University of Hail, Hail-2440, Saudi Arabia

2 School of Engineering & Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia

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Journal of Inequalities and Applications 2012, 2012:28 doi:10.1186/1029-242X-2012-28

Published: 15 February 2012

Abstract

Several new inequalities for differentiable co-ordinated convex and concave functions in two variables which are related to the left side of Hermite- Hadamard type inequality for co-ordinated convex functions in two variables are obtained.

Mathematics Subject Classification (2000): 26A51; 26D15

Keywords:
convex function; co-ordinated convex function; Hermite-Hadamard's inequality; Jensen's integral inequality