Characterization of generalized Bessel polynomials in terms of polynomial inequalities
type: Item
instance of: scholarly article
title: Characterization of generalized Bessel polynomials in terms of polynomial inequalities
zbMATH Open document ID: 0911.33004
author: Eliana X. L. de Andrade
author: Dimitar K. Dimitrov
author: A. Sri Ranga
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-05-17T00:00:00Z
full work available at URL: http://hdl.handle.net/11449/21736
review text: The authors prove two theorems, each of which characterizes the generalized Bessel polynomials \(y_n(x;\alpha,\beta)\) as the extremal polynomials in certain interesting inequalities of Markov type in an \(L^2\) norm. Their results are based upon an orthogonality property of the generalized Bessel polynomials, which was considered earlier by the reviewer [Appl. Math. Comput. 61, No. 2-3, 99--134 (1994; Zbl 0791.33006)].
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 1217026
zbMATH Keywords: Bessel polynomials
reviewed by: H. M. Srivastava
MaRDI profile type: Publication
OpenAlex ID: W2055524262
cites work: Q4854447
cites work: Weighted \(L^ 2\)-analogues of Bernstein's inequality and classical orthogonal polynomials
cites work: Q4861743
cites work: Q4848997
cites work: Orthogonality relations and generating functions for the generalized Bessel polynomials
DOI: 10.1006/JMAA.1998.5912
description: scientific article; zbMATH DE number 1217026