The monotonicity results for the ratio of certain mixed means and their applications
type: Item
instance of: scholarly article
title: The monotonicity results for the ratio of certain mixed means and their applications
zbMATH Open document ID: 1260.26037
DOI: 10.1155/2012/540710
author: Zhen-Hang Yang
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2012-12-18T00:00:00Z
review text: Summary: We continue to adopt notations and methods used in the papers illustrated by Yang (2009, 2010) to investigate the monotonicity properties of the ratio of mixed two-parameter homogeneous means. As consequences of our results, the monotonicity properties of four ratios of mixed Stolarsky means are presented, which generalize certain known results, and some known and new inequalities of ratios of means are established.
Mathematics Subject Classification ID: 26E60
zbMATH DE Number: 6116544
zbMATH Keywords: homogeneous means
zbMATH Keywords: monotonicity
zbMATH Keywords: inequalities of ratios of means
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/540710
OpenAlex ID: W2030924820
Wikidata QID: Q58704830
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description: scientific article; zbMATH DE number 6116544