On an extension of Lesche stability
  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. 
A. El Kaabouchi, A. Le Mehaute, L. Nivanen, C. J. Ou and A. Q. Wang