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

Zhen-Hang Yang | Zendy

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

Author(s) -

Zhen-Hang Yang

Publication year - 2009

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 - 10.1155/2009/591382

Subject(s) - monotonic function , mathematics , homogeneous , homogeneous function , simple (philosophy) , bivariate analysis , mathematical analysis , pure mathematics , combinatorics , statistics , philosophy , epistemology

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

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