extended mean values
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scholarly journals SCHUR-GEOMETRIC CONVEXITY OF STOLARSKY'S EXTENDED MEAN VALUES

2017 ◽  
Vol 114 (1) ◽  
Author(s):  
R.C.L. Janardhana ◽  
K.M. Nagaraja ◽  
V. Lokesha
Keyword(s):  
Mean Values ◽  
Extended Mean Values

scholarly journals The function (bx−ax)/x: Logarithmic convexity and applications to extended mean values

Filomat ◽  
2011 ◽  
Vol 25 (4) ◽  
pp. 63-73 ◽  
Author(s):  
Bai-Ni Guo ◽  
Qi Feng
Keyword(s):  
Simple Proof ◽  
Elementary Function ◽  
Logarithmic Convexity ◽  
Mean Values ◽  
Schur Convex ◽  
Extended Mean Values

In the paper, we first prove the logarithmic convexity of the elementary function bx?ax/x, where x ? 0 and b > a > 0. Basing on this, we then provide a simple proof for Schur-convex properties of the extended mean values, and, finally, discover some convexity related to the extended mean values.

scholarly journals Another proof of monotonicity for extended mean values

2006 ◽  
Vol 37 (3) ◽  
pp. 207-209
Author(s):  
Su-Ling Zhang ◽  
Chao-Ping Chen ◽  
Feng Qi
Keyword(s):  
Mean Values ◽  
Extended Mean Values

We provide another proof of monotonicity for the extended mean values.

scholarly journals NOTES ON THE SCHUR-CONVEXITY OF THE EXTENDED MEAN VALUES

2005 ◽  
Vol 9 (3) ◽  
pp. 411-420 ◽  
Author(s):  
Feng Qi ◽  
József Sándor ◽  
Sever S. Dragomir ◽  
Anthony Sofo
Keyword(s):  
Mean Values ◽  
Extended Mean Values ◽  
Schur Convexity

scholarly journals Weighted extended mean values

2004 ◽  
Vol 100 (1) ◽  
pp. 111-117 ◽  
Author(s):  
Alfred Witkowski
Keyword(s):  
Mean Values ◽  
Extended Mean Values
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