OPTIMAL GENERALIZED LOGARITHMIC MEAN BOUNDS FOR THE GEOMETRIC COMBINATION OF ARITHMETIC AND HARMONIC MEANS
| Main Author: | Long, Bo-Yong; College of Mathematics Science, Anhui University |
|---|---|
| Format: | Article application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
IndoMS
, 2011
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| Subjects: | |
| Online Access: |
http://www.jims-a.org/index.php/jimsa/article/view/5 |
Daftar Isi:
- In this paper, we answer the question: for 2 (0; 1), what are thegreatest value p = p() and least value q = q(), such that the double inequalityLp(a; b) A(a; b)H1(a; b) Lq(a; b) holds for all a; b > 0? where Lp(a; b),A(a; b), and H(a; b) are the p-th generalized logarithmic, arithmetic, and harmonicmeans of a and b, respectively.DOI : http://dx.doi.org/10.22342/jims.17.2.5.85-95