On the Bernstein-type inequalities for ultraspherical polynomials
type: Item
instance of: scholarly article
title: On the Bernstein-type inequalities for ultraspherical polynomials
zbMATH Open document ID: 1017.33006
DOI: 10.1016/S0377-0427(02)00591-5
author: A. Laforgia
author: C. Giordano
published in: Journal of Computational and Applied Mathematics
publication date: 2003-05-22T00:00:00Z
review text: A comparison of some familiar Bernstein-type inequalities for ultraspherical Legendre polynomials is presented in the paper. The classical Bernstein inequality for the Legendre polynomials is improved as a consequence of the asymptotic results for the ratio of gamma functions. A comparison of the refinements due to Durand, Lorch, Laforgia, Alzer and other authors is given.
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 41A17
zbMATH DE Number: 1915238
zbMATH Keywords: Bernstein inequality
zbMATH Keywords: gamma-function
zbMATH Keywords: Legendre polynomials
zbMATH Keywords: ultraphserical polynomials
reviewed by: S. Yakubovich
MaRDI profile type: Publication
cites work: On some inequalities for the gamma and psi functions
cites work: On Bernstein's inequality for ultraspherical polynomials
cites work: On Gamma Function Inequalities
cites work: A Bernstein-Type Inequality for the Jacobi Polynomial
cites work: Q4125128
cites work: Q5824493
cites work: Inequalities and monotonicity properties for the gamma function
cites work: Unified treatment of Gautchi-Kershaw type inequalities for the gamma function
cites work: Inequalities and monotonicity properties for gamma and q-gamma functions
cites work: Some Extensions of W. Gautschi's Inequalities for the Gamma Function
cites work: Q4020165
cites work: Inequalities for ultraspherical polynomials and the gamma function
cites work: Q4843476
cites work: Q4061445
full work available at URL: s0377-0427(02)00591-5
OpenAlex ID: W2022166205
description: scientific article; zbMATH DE number 1915238