Tsallis and Rényi divergences of generalized Jacobi polynomials

Răzvan-Cornel Sfetcu

Physica A: Statistical Mechanics and its Applications, 2016, vol. 460, issue C, 131-138

Abstract: We consider some discrete probability distribution ψn(x)=(ψn,1(x),ψn,2(x),…,ψn,n(x)). We show that, under suitable conditions, the sequence of Tsallis divergence (DT(ψn(x)))n and the sequence of Rényi divergence (DR(ψn(x)))n are convergent for any x∈(−1,1).

Keywords: Tsallis entropy; Rényi entropy; Tsallis divergence; Rényi divergence; Orthogonal polynomials; Generalized Jacobi polynomials (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:460:y:2016:i:c:p:131-138

DOI: 10.1016/j.physa.2016.04.017

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