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On the Approximation of the Integral Mean Divergence and f-Divergence via Mean Results

School of Communications and Informatics, Faculty of Engineering and Science, Victoria University of Technology
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  • 0102 Applied Mathematics
  • 0103 Numerical And Computational Mathematics
  • Research Group In Mathematical Inequalities And Applications (Rgmia)


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 Csiszár. 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.

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