Inequalities for real powers of completely monotonic functions
type: Item
instance of: scholarly article
title: Inequalities for real powers of completely monotonic functions
zbMATH Open document ID: 0889.26009
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-06-23T00:00:00Z
review text: Further improvements of the author's results from the previous paper [J. Math. Anal. Appl. 204, No. 2, 389-408 (1996; preceding review)] are obtained. Namely, the implication \[ f\in L\Rightarrow [\forall \alpha> 1: f^\alpha\in L^N] \] is true for \(0\leq N\leq 7\), but false for \(N\geq 13\). Some inequalities for completely monotonic functions are also obtained.
Mathematics Subject Classification ID: 26A48
Mathematics Subject Classification ID: 26D07
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 1031638
zbMATH Keywords: inequalities
zbMATH Keywords: completely monotonic functions
author: Henk van Haeringen
reviewed by: J. Pečarić
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5376
OpenAlex ID: W2054850961
cites work: What is the Laplace Transform?
cites work: Completely monotonic and related functions
cites work: Q5812325
cites work: Kolmogorov-Landau inequalities for monotone functions
DOI: 10.1006/JMAA.1997.5376
description: scientific article; zbMATH DE number 1031638