Some Comparison Inequalities for Generalized Muirhead and Identric Means

For , with , the generalized Muirhead mean with parameters and and the identric mean are defined by and , , , , respectively. In this paper, the following results are established: (1) for all with and ; (2) for all with and ; (3) if , then there exist such that and .

Saved in:
Bibliographic Details
Published inJournal of inequalities and applications Vol. 2010; no. 1; pp. 1 - 10
Main Authors Wang, Miao-Kun, Chu, Yu-Ming, Qiu, Ye-Fang
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.01.2010
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Mathematics
Mathematics and Statistics
Research Article
Selected Papers from the 10th International Conference 2009 on Nonlinear Functional Analysis and Applications
Intensive Research
Simple Computation
Sharp Inequality
Classified Region
Real Number
Online AccessGet full text

Cover

More Information
Summary:For , with , the generalized Muirhead mean with parameters and and the identric mean are defined by and , , , , respectively. In this paper, the following results are established: (1) for all with and ; (2) for all with and ; (3) if , then there exist such that and .
ISSN:1025-5834
1029-242X
DOI:10.1155/2010/295620