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About the sharpness of the Jensen inequality
Ðilda Pečarić1, Josip Pečarić2,3, Mirna Rodić2
1Catholic University of Croatia, Zagreb, Croatia.
Abstract:
The main aim of this paper is to give an improvement of the recent result on the sharpness of the Jensen inequality. The results given here are obtained using different Green functions and considering the case of the real Stieltjes measure, not necessarily positive. Finally, some applications involving various types of f-divergences and Zipf-Mandelbrot law are presented.

