Jensen's inequality for polynomials with concentration at low degrees
type: Item
instance of: scholarly article
title: Jensen's inequality for polynomials with concentration at low degrees
zbMATH Open document ID: 0597.30006
DOI: 10.1007/BF01389625
published in: Numerische Mathematik
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133108
review text: Let \(p(x)=a_ 0+a_ 1x+a_ 2x^ 2+...\), be a polynomial with complex coefficients. Let \(0<d<1\). Then p(x) is said to have concentration d at degrees at most k, if (*) \(\sum^{j=k}_{j=0}| a_ j| \geq d\sum | a_ j|\). The aim of the paper under review is to extend Jensen's inequality for polynomials normalized by \(\sum | a_ j| =1\) and satisfying condition (*).
Mathematics Subject Classification ID: 30C10
Mathematics Subject Classification ID: 26C05
zbMATH DE Number: 3962066
zbMATH Keywords: Jensen's inequality
author: Bernard Beauzamy
reviewed by: George Csordas
MaRDI profile type: Publication
cites work: Estimations de produits de polynômes. (Estimates of products of polynomials)
OpenAlex ID: W2025063407
description: scientific article; zbMATH DE number 3962066