Inequalities for means in two variables

H Alzer, S Qiu - Archiv der Mathematik, 2003 - Springer
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 …

Bounds of the Neuman‐Sándor Mean Using Power and Identric Means

YM Chu, BY Long - Abstract and Applied Analysis, 2013 - Wiley Online Library
Bounds of the Neuman‐Sándor Mean Using Power and Identric Means - Chu - 2013 - Abstract
and Applied Analysis - Wiley Online Library Skip to Article Content Skip to Article Information …

On certain means of two arguments and their extensions

E Neuman, J Sándor - International Journal of Mathematics …, 2003 - Wiley Online Library
On certain means of two arguments and their extensions Page 1 IJMMS 2003:16, 981–993
PII. S0161171203208103 http://ijmms.hindawi.com © Hindawi Publishing Corp. ON CERTAIN …

[HTML][HTML] Two optimal double inequalities between power mean and logarithmic mean

Y Chu, W Xia - Computers & Mathematics with Applications, 2010 - Elsevier
For p∈ R the power mean Mp (a, b) of order p, the logarithmic mean L (a, b) and the
arithmetic mean A (a, b) of two positive real values a and b are defined by and A (a, b)= a+ …

[PDF][PDF] Two sharp inequalities for Lehmer mean, identric mean and logarithmic mean

YF Qiu, MK Wang, YM Chu, GD Wang - J. Math. Inequal, 2011 - Citeseer
Two sharp inequalities for Lehmer mean, identric mean and logarithmic mean Page 1 Journal
of Mathematical Inequalities Volume 5, Number 3 (2011), 301–306 TWO SHARP …

New inequalities for hyperbolic functions and their applications

L Zhu - Journal of Inequalities and Applications, 2012 - Springer
In this paper, we obtain some new inequalities in the exponential form for the whole of the
triples about the four functions {1,(sinh t)/t, exp (t coth t− 1), cosh t}. Then we generalize …

New sharp bounds for logarithmic mean and identric mean

ZH Yang - Journal of Inequalities and Applications, 2013 - Springer
For x, y> 0 with x≠ y, let L= L (x, y), I= I (x, y), A= A (x, y), G= G (x, y), A r= A 1/r (xr, yr) denote
the logarithmic mean, identric mean, arithmetic mean, geometric mean and r-order power …

Companion inequalities for certain bivariate means

E Neuman, J Sándor - Applicable Analysis and Discrete Mathematics, 2009 - JSTOR
COMPANION INEQUALITIES FOR CERTAIN BIVARIATE MEANS Page 1 Applicable Analysis
and Discrete Mathematics available online at http://pefmath.etf.bg.ac.yu Appl. Anal. Discrete …

[PDF][PDF] Interpolations of Schwab-Borchardt mean

A Witkowski - Math. Inequal. Appl, 2013 - Citeseer
INTERPOLATIONS OF SCHWAB-BORCHARDT MEAN 1. Introduction Page 1
INTERPOLATIONS OF SCHWAB-BORCHARDT MEAN ALFRED WITKOWSKI Abstract. For two …

[PDF][PDF] New bounds for the identric mean of two arguments

O Kouba - J. Inequal. Pure Appl. Math, 2008 - emis.de
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 …