\(L^{p}\)-norms and information entropies of Charlier polynomials

DOI10.1006/jath.2002.3691zbMath1013.41012OpenAlexW2011045612MaRDI QIDQ1867495

Lars Larsson-Cohn

Publication date: 2 April 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2002.3691

zbMATH Keywords

entropyCharlier polynomials\(L_p\) norms

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Measures of information, entropy (94A17) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (5)

Relative Fisher information of discrete classical orthogonal polynomials ⋮ The approximation of almost time- and band-limited functions by their expansion in some orthogonal polynomials bases ⋮ Asymptotics \((p\to\infty)\) of \(L_p\)-norms of hypergeometric orthogonal polynomials ⋮ Asymptotic analysis of the Askey-scheme. I: From Krawtchouk to Charlier ⋮ \(L^{p}\)-norms and information entropies of Charlier polynomials

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