Uniform inequalities for Gegenbauer polynomials
type: Item
instance of: scholarly article
title: Uniform inequalities for Gegenbauer polynomials
zbMATH Open document ID: 0842.33004
DOI: 10.1007/BF00113910
author: Yanyan Li
published in: Acta Mathematica Hungarica
publication date: 1996-05-13T00:00:00Z
review text: The usual asymptotic representations of the Gegenbauer (ultraspherical) polynomials do not yield bounds on their absolute values which hold equally on the interval \(-1\leq x\leq 1\). But in the Legendre case (index \(\lambda= {1\over 2}\)) and more generally in the case of \(0\leq \lambda\leq 1\) such estimates exist. In this paper such bounds are given explicitly for arbitrary \(\lambda>0\).
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33D55
zbMATH DE Number: 878112
zbMATH Keywords: inequalities for Gegenbauer polynomials
MaRDI profile type: Publication
cites work: Uniform inequalities for ultraspherical polynomials and Bessel functions of fractional order
cites work: Q5820721
cites work: Inequalities for ultraspherical polynomials and the gamma function
cites work: Q3997304
cites work: Q5849934
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description: scientific article; zbMATH DE number 878112