Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1247.26040
Wang, Miao-Kun; Wang, Zi-Kui; Chu, Yu-Ming
An optimal double inequality between geometric and identric means. (English)
[J] Appl. Math. Lett. 25, No. 3, 471-475 (2012). ISSN 0893-9659

Summary: We find the greatest value $p$ and least value $q$ in $(0,1/2)$ such that the double inequality $G(pa+(1 - p)b,pb+(1 - p)a)<I(a,b)<G(qa+(1 - q)b,qb+(1 - q)a)$ holds for all $a,b>0$ with $a\neq b$. Here, $G(a,b)$, and $I(a,b)$ denote the geometric, and identric means of two positive numbers $a$ and $b$, respectively.

MSC 2000:: *26D15 Inequalities for sums, series and integrals of real functions
26E60 Means

Keywords: geometric mean; identric mean; inequality

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]