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An Optimal Double Inequality between Seiffert and Geometric Means
Joint Authors
Chu, Yu-Ming
Wang, Zi-Kui
Wang, Miao-Kun
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-23
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
For α,β∈(0,1/2) we prove that the double inequality G(αa+(1−α)b,αb+(1−α)a)
0 with a≠b if and only if α≤(1−1−4/π2)/2 and β≥(3−3)/6.
Here, G(a,b) and P(a,b) denote the geometric and Seiffert means of two positive numbers a and b, respectively.
American Psychological Association (APA)
Chu, Yu-Ming& Wang, Miao-Kun& Wang, Zi-Kui. 2011. An Optimal Double Inequality between Seiffert and Geometric Means. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-6.
https://search.emarefa.net/detail/BIM-990574
Modern Language Association (MLA)
Chu, Yu-Ming…[et al.]. An Optimal Double Inequality between Seiffert and Geometric Means. Journal of Applied Mathematics No. 2011 (2011), pp.1-6.
https://search.emarefa.net/detail/BIM-990574
American Medical Association (AMA)
Chu, Yu-Ming& Wang, Miao-Kun& Wang, Zi-Kui. An Optimal Double Inequality between Seiffert and Geometric Means. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-6.
https://search.emarefa.net/detail/BIM-990574
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-990574