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

Voir la notice de l'article provenant de la source Cambridge University Press

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
@article{10_4153_CMB_1979_063_0,
     author = {Kardos, Peter},
     title = {On the {Inequality}},
     journal = {Canadian mathematical bulletin},
     pages = {483--489},
     year = {1979},
     volume = {22},
     number = {4},
     doi = {10.4153/CMB-1979-063-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-063-0/}
}
TY  - JOUR
AU  - Kardos, Peter
TI  - On the Inequality
JO  - Canadian mathematical bulletin
PY  - 1979
SP  - 483
EP  - 489
VL  - 22
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-063-0/
DO  - 10.4153/CMB-1979-063-0
ID  - 10_4153_CMB_1979_063_0
ER  - 
%0 Journal Article
%A Kardos, Peter
%T On the Inequality
%J Canadian mathematical bulletin
%D 1979
%P 483-489
%V 22
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-063-0/
%R 10.4153/CMB-1979-063-0
%F 10_4153_CMB_1979_063_0

[1] 1. Fischer, P., On the inequality Canadian Math. Bull. 17 (1974), 193-199. Google Scholar

[2] 2. Aczél, J. and Daróczy, Z., On Measures of Information and their Characterizations, Academic Press, New York, 1975. Google Scholar

[3] 3. Rényi, A., On the Foundations of Information Theory, Rev. Inst. Internat. Stat. 33 (1965), 1-14. Google Scholar

[4] 4. Aczél, J., General solution of an inequality containing several unknown functions, with applications to the generalized problem of how to keep the (inset) expert honest, Notices Amer. Math. Soc. vol. 25, nr. 4, p. A-435, #78T-C18. Google Scholar

Cité par Sources :