On an extension of Lesche stability
Mathematical Physics
2008-10-22 v1 math.MP
Abstract
In this paper, we give a new method for proving the Lesche stability of several functionals(Incomplete entropy, Tsallis entropy, \kappa - entropy, Quantum-Group entropy). We prove also that the Incomplete q - expectation value and Renyi entropy for (0 < q < 1) are \alpha - stable for all (0 <\alpha <= q). Finally, we prove that the Incomplete q - expectation value is \alpha - stable for all 0 <\alpha <=1.
Keywords
Cite
@article{arxiv.0810.3860,
title = {On an extension of Lesche stability},
author = {A. El Kaabouchi and A. Le Mehaute and L. Nivanen and C. J. Ou and A. Q. Wang},
journal= {arXiv preprint arXiv:0810.3860},
year = {2008}
}