Canadian Math. Bull. 
Crossref Citations
This article has been cited by the following publications. This list is generated based on data provided by Crossref.
Mitrinović, D. S.
Pečarić, J. E.
and
Fink, A. M.
1993.
Classical and New Inequalities in Analysis.
p.
635.
Article contents
On the Inequality 
Published online by Cambridge University Press: 20 November 2018
Extract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
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.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1979
References
2.
Aczél, J. and Daróczy, Z., On Measures of Information and their Characterizations,
Academic Press, New York,
1975.Google Scholar
3.
Rényi, A., On the Foundations of Information Theory,
Rev. Inst. Internat. Stat.
33 (1965), 1-14.Google Scholar
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
You have
Access
- 1
- Cited by