Hyperstability of a functional equation
By E. Gselmann. 2009
86 citations recorded by the source corpus.
The aim of this paper is to prove that the parametric fundamental equation of information is hyperstable on its open as well as on its closed domain, assuming that the parameter is negative. As a corollary of the main result, it is also proved that the system of equations that defines the alpha-recursive information measures is stable.
Subfields: Applied Mathematics, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/5a372349bda15d02d10929443b2ecd13af2b4e73
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In Applied Mathematics
- Janusz Brzdek
- Krzysztof Cieplinski
- Liviu Cadariu
- Justyna Sikorska
- Wlodzimierz Fechner
- Mohammad Sal Moslehian
In Control and Systems Engineering
Citations in the corpus
- Hyperstability and Superstability (2013, methodology): “The following result, concerning the parametric fundamental equation of information, has been obtained in [20].”
- Hyperstability of the Cauchy equation on restricted domains (2013, background): “However, the term hyperstability was introduced much later (in the meaning applied here probably in [33]; see also [22,32]) and quite often it is confused with superstability.”