Geodesic
On the Inequality
Canadian mathematical bulletin, Tome 22 (1979) no. 4, pp. 483-489

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In this paper, we are concerned with the functional inequality 1 where 0 < Pi < l, 0 < qi < l, fi(p)≠0, for 0 < P < 1, (i = 1, 2,..., n) and n is a fixed positive integer, n ≥ 2.Inequality (1) was studied by Rényi and Fischer, (see [1], [3]) in the special case 2 and this provided a characterization of Rényi's entropy. 
Kardos, Peter. On the Inequality. Canadian mathematical bulletin, Tome 22 (1979) no. 4, pp. 483-489. doi: 10.4153/CMB-1979-063-0
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