International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 591382, 12 pages
doi:10.1155/2009/591382
Some monotonicity results for the ratio of two-parameter symmetric homogeneous functions
Zhen-Hang Yang
Electric Grid Planning and Research Center, Zhejiang Province Electric Power Test and Research Institute, Hangzhou, Zhejiang 310014, China
Abstract
Applying well properties of homogeneous functions, some monotonicity results for the ratio of two-parameter symmetric homogeneous functions are presented, which give an easier access to find two-parameter symmetric homogeneous means having ratio simple monotonicity properties proposed by L. Losonczi. As an application, a chain of inequalities of ratio of bivariate means is established.