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On an extension of Lesche stability

2008/10/21 by A. El Kaabouchi, A. Le Mehaute, Alain Le Méhauté +8
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Business #Computer science #Extension (predicate logic) #FOS: Physical sciences #Functional Equations Stability Results #Mathematical Physics (math-ph) #Programming language #Quantum chaos and dynamical systems #Stability (learning theory) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0810.3860

arxiv created 2008/10/21 · openalex publication_date 2008/10/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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

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