Advances in Pure Mathematics

Volume 4, Issue 7 (July 2014)

ISSN Print: 2160-0368   ISSN Online: 2160-0384

Google-based Impact Factor: 0.50  Citations  h5-index & Ranking

Some Hermite-Hadamard Type Inequalities for Differentiable Co-Ordinated Convex Functions and Applications

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DOI: 10.4236/apm.2014.47044    3,744 Downloads   5,456 Views  Citations
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ABSTRACT

In this paper, we shall establish an inequality for differentiable co-ordinated convex functions on a rectangle from the plane. It is connected with the left side and right side of extended Hermite-Hadamard inequality in two variables. In addition, six other inequalities are derived from it for some refinements. Finally, this paper shows some examples that these inequalities are able to be applied to some special means.

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Hsu, K. (2014) Some Hermite-Hadamard Type Inequalities for Differentiable Co-Ordinated Convex Functions and Applications. Advances in Pure Mathematics, 4, 326-340. doi: 10.4236/apm.2014.47044.

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