Published in
Hindawi, Journal of Function Spaces and Applications, (2012), p. 1-14
DOI: 10.1155/2012/980438
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Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means
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Abstract
The authors establish some new inequalities for differentiable convex functions, which are similar to the celebrated Hermite-Hadamard's integral inequality for convex functions, and apply these inequalities to construct inequalities for special means of two positive numbers.