Generalization of H. Alzer's inequality
type: Item
instance of: scholarly article
title: Generalization of H. Alzer's inequality
zbMATH Open document ID: 0946.26007
author: Feng Qi
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-02-03T00:00:00Z
review text: By applying the reviewer's method from [J. Math. Anal. Appl. 192, No. 3, 1034-1035 (1995; Zbl 0829.26013)], the author proves the following inequality, which is a generalization of a result of Alzer: \[ {n+k\over n+m+k}< \Biggl({1\over n} \sum^{n+k}_{i= k+1} i^r\Biggl/{1\over n+m} \sum^{n+ m+k}_{i= k+1} i^r\Biggr)^{1/r}. \]
reviewed by: József Sándor
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 1398611
zbMATH Keywords: Alzer's inequality
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6587
OpenAlex ID: W1997390304
cites work: On an inequality of H. Minc and L. Sathre
cites work: On Alzer's inequality
cites work: Arithmetic and Geometric Means, an Application to Lorentz Sequence Spaces
cites work: Some Inequalities involving (r!)1/r
cites work: On an inequality of Alzer
cites work: Q4332276
DOI: 10.1006/JMAA.1999.6587
description: scientific article; zbMATH DE number 1398611