We present various new inequalities involving the logarithmic mean L(x,y)=(xy)/(xy), the
identric mean I(x,y)=(1/e)(x^x/y^y)^1/(xy), and the classical arithmetic and geometric means …

Let a, b> 0 be positive real numbers. The identric mean I (a, b) of a and b is defined by I= I (a,
b)=(1/e)(bb/aa) 1/(b− a), for a≠ b, I (a, a)= a; while the logarithmic mean L (a, b) of a and b is …

On Certain Inequalities for Means Page 1 JOURNAJ. OF MATHEMATICAL. ANALYSIS AND
APPLICATIONS 189, 6()2–6()6 ( 1995) Note On Certain Inequalities for Means JÓZSEF …

A= A (a, b):= denote the arithmetic and geometric means of a and b, respectively. For these
means many interesting results, especially inequalities, have been proved (See eg …

ON SOME FUNCTIONAL INEQUALITIES RELATED TO THE LOGARITHMIC MEAN Page 1
Acta Math. Hungar., 128 (1–2) (2010), 36–45. DOI: 10.1007/s10474-010-9153-3 First …

Sharp inequalities between means Page 1 M athematical I nequalities & A pplications
Volume 14, Number 3 (2011), 647–655 SHARP INEQUALITIES BETWEEN MEANS YUMING …

Optimal Inequalities among Various Means of Two Arguments Page 1 Hindawi Publishing
Corporation Abstract and Applied Analysis Volume 2009, Article ID 694394, 10 pages doi:10.1155/2009/694394 …

Proof. Taking t= x 1 12, where x> 1, it is easy to see that inequality (2.4) is equivalent to (2.5)
9 (t4+ 1) 3> 8 (t6+ t3+ 1) 2. Define a function g (t) as g (t)= 9 (t4+ 1) 3− 8 (t6+ t3+ 1) 2 …

An Arithmetic-Geometric Mean Inequality Page 1 EXPOSITIONES MATHEMATICAE Expo.
Math. 19 (2001):273-279 © Urban & Fischer Verlag www. u rbanfischer.de/jou rnals/expomath …

New Bounds for The Identric Mean of Two Arguments Page 1 New Bounds for The Identric
Mean Omran Kouba vol. 9, iss. 3, art. 71, 2008 Title Page Contents ◀◀ ▶▶ ◀ ▶ Page 1 of 14 …