Best Possible Inequalities between Generalized Logarithmic Mean and Classical Means
Joint Authors
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-03-28
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We answer the question: for α,β,γ∈(0,1) with α+β+γ=1, what are the greatest value p and the least value q, such that the double inequality Lp(a,b)0 with a≠b? Here Lp(a,b), A(a,b), G(a,b), and H(a,b) denote the generalized logarithmic, arithmetic, geometric, and harmonic means of two positive numbers a and b, respectively.
American Psychological Association (APA)
Chu, Yu-Ming& Long, Bo-Yong. 2010. Best Possible Inequalities between Generalized Logarithmic Mean and Classical Means. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-13.
https://search.emarefa.net/detail/BIM-461777
Modern Language Association (MLA)
Chu, Yu-Ming& Long, Bo-Yong. Best Possible Inequalities between Generalized Logarithmic Mean and Classical Means. Abstract and Applied Analysis No. 2010 (2010), pp.1-13.
https://search.emarefa.net/detail/BIM-461777
American Medical Association (AMA)
Chu, Yu-Ming& Long, Bo-Yong. Best Possible Inequalities between Generalized Logarithmic Mean and Classical Means. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-13.
https://search.emarefa.net/detail/BIM-461777
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-461777