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

Mathematics

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