engleski

Csiszar divergence functional and the concept of superadditivity

Superadditivity property of the Jensen functional is put in relation to the Csiszar divergence functional. Monotonicity of the Jensen functional and speci fic bounds obtained consequently, via interpolating Jensen inequalities, reflect within well known f-divergences. The analyzed inequalities are presented for the Zipf- Mandelbrot law and accentuated for its special form, the Zipf law with its interdisciplinary role.

Csiszar divergence, Kullback-Leibler, superaditivity, Zipf-Mandelbrot law

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