On an extension of Lesche stability

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In this paper, we give a new method for proving the Lesche stability of several functionals(Incomplete entropy, Tsallis entropy, κ- entropy, Quantum-Group entropy). We prove also that the Incomplete q - expectation value and Renyi entropy for (0 < q < 1) are α- stable for all (0 <α<= q). Finally, we prove that the Incomplete q - expectation value is α- stable for all 0 <α<=1.

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