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A Sharp Double Inequality between Seiffert, Arithmetic, and Geometric Means
Joint Authors
Song, Ying-Qing
Chu, Yu-Ming
Gong, Wei-Ming
Wang, Miao-Kun
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-02
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
For fixed s≥1 and any t1,t2∈(0,1/2) we prove that the double inequality Gs(t1a+(1-t1)b,t1b+(1-t1)a)A1-s(a,b)
0 with a≠b if and only if t1≤(1-1-(2/π)2/s)/2 and t2≥(1-1/3s)/2.
Here, P(a,b), A(a,b) and G(a,b) denote the Seiffert, arithmetic, and geometric means of two positive numbers a and b, respectively.
American Psychological Association (APA)
Gong, Wei-Ming& Song, Ying-Qing& Wang, Miao-Kun& Chu, Yu-Ming. 2012. A Sharp Double Inequality between Seiffert, Arithmetic, and Geometric Means. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-490392
Modern Language Association (MLA)
Gong, Wei-Ming…[et al.]. A Sharp Double Inequality between Seiffert, Arithmetic, and Geometric Means. Abstract and Applied Analysis No. 2012 (2012), pp.1-7.
https://search.emarefa.net/detail/BIM-490392
American Medical Association (AMA)
Gong, Wei-Ming& Song, Ying-Qing& Wang, Miao-Kun& Chu, Yu-Ming. A Sharp Double Inequality between Seiffert, Arithmetic, and Geometric Means. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-490392
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490392