Some Monotonicity Results for the Ratio of Two-Parameter Symmetric Homogeneous Functions

الملخص EN

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.