The Monotonicity Results for the Ratio of Certain Mixed Means and Their Applications
Author(s) -
Zhen-Hang Yang
Publication year - 2012
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2012/540710
Subject(s) - monotonic function , mathematics , homogeneous , notation , pure mathematics , combinatorics , mathematical analysis , arithmetic
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. © 2012 Zhen-Hang Yang.
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