On Mean Divergence Measures
نویسنده
چکیده
Abstract. Arithmetic, geometric and harmonic means are the three classical means famous in the literature. Another mean such as square-root mean is also known. In this paper, we have constructed divergence measures based on nonnegative differences among these means, and established an interesting inequality by use of properties of Csiszár’s f-divergence. An improvement over this inequality is also presented. Comparison of new mean divergence measures with classical divergence measures such as J-divergence [10, 11], Jensen-Shannon difference divergence measure [3, 15] and arithmetic-geometric mean divergence measure [17] are also established.
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