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The purpose of this note is to extend the divergences analyzed in a previouswork by application of the Deformed Logarithm in its most general form. In astudy on entropic divergences, we have analyzed the different forms of thedeformed logarithm and their applications to this type of divergence. A verygeneral form of the deformed logarithm has been highlighted; it allows us togroup the different expressions of the deformed logarithm under a unique formwhich includes all the others. Beyond the applications linked to thedivergences based on entropy, we propose here to extend the classicaldivergences by application of the generalized deformed Logarithm.

Generalization of divergences by application of the deformed logarithm -- Applications to linear inverse problems -- Inversion algorithms