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 …

Inequalities between Arithmetic‐Geometric, Gini, and Toader Means

YM Chu, MK Wang - Abstract and Applied Analysis, 2012 - Wiley Online Library
We find the greatest values p1, p2 and least values q1, q2 such that the double inequalities
S p 1 (a, b)< M (a, b)< S q 1 (a, b) and S p 2 (a, b)< T (a, b)< S q 2 (a, b) hold for all a, b> 0 …

Best Possible Bounds for Neuman‐Sándor Mean by the Identric, Quadratic and Contraharmonic Means

TH Zhao, YM Chu, YL Jiang… - Abstract and Applied …, 2013 - Wiley Online Library
We prove that the double inequalities I α 1 (a, b) Q 1-α 1 (a, b)< M (a, b)< I β 1 (a, b) Q 1-β 1
(a, b), I α 2 (a, b) C 1-α 2 (a, b)< M (a, b)< I β 2 (a, b) C 1-β 2 (a, b) hold for all a, b> 0 with a≠ …

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 …

[HTML][HTML] Jensen's inequality and new entropy bounds

S Simic - Applied Mathematics Letters, 2009 - Elsevier
Jensen’s inequality and new entropy bounds - ScienceDirect Skip to main contentSkip to
article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full …

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] Inequalities involving Stolarsky and Gini means

E Neuman, J Sándor - Math. Pannonica, 2003 - gwdg.de
This paper deals with inequalities for the Stolarsky and Gilli means. Inequalities involving
the means in question and their products are established. Some of these results provide …

[PDF][PDF] Some comparison inequalities for generalized Muirhead and identric means

MK Wang, YM Chu, YF Qiu - Journal of Inequalities and Applications, 2010 - Springer
Research Article Some Comparison Inequalities for Generalized Muirhead and Identric Means
Page 1 Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2010 …

[PDF][PDF] Sharp bounds for Toader–Qi mean in terms of logarithmic and identric means

ZH Yang, YM Chu, YQ Song - A (a, b), 2016 - files.ele-math.com
Sharp bounds for Toader-Qi mean in terms of logarithmic and identric means Page 1 M
athematical I nequalities & A pplications Volume 19, Number 2 (2016), 721–730 doi:10.7153/mia-19-52 …