AbstractWe derive asymptotics for the Lp-norms and information entropies of Charlier polynomials. The results differ to some extent from previously studied orthogonal polynomials, for example, the Lp-norms show a peculiar behaviour with two thresholds. Some complications arise because the measure involved is discrete
AbstractWhen learning processes depend on samples but not on the order of the information in the sam...
The Jensen's inequality has tremendous implications in many fields of modern analysis. It helps comp...
We investigate the basic question of information theory, namely, evaluation of Shannon entropy, and ...
AbstractWe derive asymptotics for the Lp-norms and information entropies of Charlier polynomials. Th...
AbstractWe study the asymptotic behavior as n→∞ of the entropy integral Sn=−∫p2n, n(x)lnp2n, n(x)wn(...
Abstract: The asymptotic of the weighted Lp-norms of Hermite polynomials is determined for...
In this work, the spread of hypergeometric orthogonal polynomials (HOPs) along their orthogonality i...
AbstractThis is a brief account on some results and methods of the asymptotic theory dealing with th...
This work was partially supported by the Agencia Estatal de Investigacion (Spain) and the European R...
Abstract. The asymptotics of the weighted Lp-norms of Hermite polynomi-als, which describes the Rén...
AbstractThe Renyi, Shannon and Fisher spreading lengths of the classical or hypergeometric orthogona...
This is a survey of the present knowledge on the analytical determination of the Shannon information...
AbstractThis is a survey of the present knowledge on the analytical determination of the Shannon inf...
Abstract: The asymptotics of the weighted Lp-norms of the Laguerre polynomials is determin...
AbstractThe probability densities of position and momentum of many quantum systems have the form ρ(x...
AbstractWhen learning processes depend on samples but not on the order of the information in the sam...
The Jensen's inequality has tremendous implications in many fields of modern analysis. It helps comp...
We investigate the basic question of information theory, namely, evaluation of Shannon entropy, and ...
AbstractWe derive asymptotics for the Lp-norms and information entropies of Charlier polynomials. Th...
AbstractWe study the asymptotic behavior as n→∞ of the entropy integral Sn=−∫p2n, n(x)lnp2n, n(x)wn(...
Abstract: The asymptotic of the weighted Lp-norms of Hermite polynomials is determined for...
In this work, the spread of hypergeometric orthogonal polynomials (HOPs) along their orthogonality i...
AbstractThis is a brief account on some results and methods of the asymptotic theory dealing with th...
This work was partially supported by the Agencia Estatal de Investigacion (Spain) and the European R...
Abstract. The asymptotics of the weighted Lp-norms of Hermite polynomi-als, which describes the Rén...
AbstractThe Renyi, Shannon and Fisher spreading lengths of the classical or hypergeometric orthogona...
This is a survey of the present knowledge on the analytical determination of the Shannon information...
AbstractThis is a survey of the present knowledge on the analytical determination of the Shannon inf...
Abstract: The asymptotics of the weighted Lp-norms of the Laguerre polynomials is determin...
AbstractThe probability densities of position and momentum of many quantum systems have the form ρ(x...
AbstractWhen learning processes depend on samples but not on the order of the information in the sam...
The Jensen's inequality has tremendous implications in many fields of modern analysis. It helps comp...
We investigate the basic question of information theory, namely, evaluation of Shannon entropy, and ...
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