engleski

On a Jensen–type inequality for generalized f–divergences and Zipf–Mandelbrot law

By means of one new Jensen-type inequality for signed measures which is characterized via several different Green functions, in this paper we derive new inequalities for generalized f-divergences. The applications on the Zipf-Mandelbrot law, as one specific kind of probability distributions, are also given.

Green function ; Jensen inequality ; f−divergence ; Zipf-Mandelbrot law

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