Results involving the approximation of the difference between two integral means are utilised to obtain bounds on the integral mean divergence and the f-divergence due to Csiszéar. The current work does not restrict the functions involved to be convex. If convexity is imposed then the integral mean divergence is the Hermite-Hadamard divergence introduced by Shioya and Da-te. © 2005 Elsevier Ltd. All rights reserved.
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