Logarithmische Konvexität und Ungleichungsscharen
type: Item
instance of: scholarly article
title: Logarithmische Konvexität und Ungleichungsscharen
zbMATH Open document ID: 0584.26014
published in: Elemente der Mathematik
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/141369
review text: From the logarithmic convexity of \(t\mapsto (x^ t-1)/t\) (t\(\neq 0\), extended by continuity to \(t=0)\) several inequalities are elegantly deduced, e.g. \[ (1-\frac{1}{n^ 2})(x^ n-1)^ 2<(x^{n-1}- 1)(x^{n+1}-1)<(x^ n-1)^ 2 \] for \(n>1\), \(1\neq x>0\).
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26A51
zbMATH DE Number: 3935368
zbMATH Keywords: inequality of Karamata
zbMATH Keywords: logarithmic convexity
author: Vania Mascioni
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3935368