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Log-concavity of Hölder means and an application to geometric inequalities

2019 ◽  
Vol 12 (4) ◽  
pp. 671-686
Author(s):  
Aurel I. Stan ◽  
Sergio D. Zapeta-Tzul
Keyword(s):  
Geometric Inequalities ◽  
Hölder Means

scholarly journals Concavity of the complete elliptic integrals of the second kind with respect to Hölder means

2012 ◽  
Vol 395 (2) ◽  
pp. 637-642 ◽  
Author(s):  
Yu-Ming Chu ◽  
Miao-Kun Wang ◽  
Yue-Ping Jiang ◽  
Song-Liang Qiu
Keyword(s):  
Elliptic Integrals ◽  
Complete Elliptic Integrals ◽  
Hölder Means

scholarly journals Convexity of the complete elliptic integrals of the first kind with respect to Hölder means

2012 ◽  
Vol 388 (2) ◽  
pp. 1141-1146 ◽  
Author(s):  
Miao-Kun Wang ◽  
Yu-Ming Chu ◽  
Song-Liang Qiu ◽  
Yue-Ping Jiang
Keyword(s):  
Elliptic Integrals ◽  
Complete Elliptic Integrals ◽  
Hölder Means

scholarly journals Concavity with respect to Hölder means involving the generalized Grötzsch function

2011 ◽  
Vol 379 (1) ◽  
pp. 200-204 ◽  
Author(s):  
Gendi Wang ◽  
Xiaohui Zhang ◽  
Yueping Jiang
Keyword(s):  
Hölder Means

Mercerian theorems involving Cesàro and Hölder means of positive order

Analysis ◽  
2008 ◽  
Vol 28 (3) ◽  
Author(s):  
Wolfgang Beekmann ◽  
Dennis C. Russell
Keyword(s):  
Positive Order ◽  
Sequence Transformation ◽  
Hölder Means

For a sequence–to–sequence transformation defined by a matrix

scholarly journals Hölder Means, Lehmer Means, andx−1logcoshx

1996 ◽  
Vol 202 (3) ◽  
pp. 810-818 ◽  
Author(s):  
Kenneth B. Stolarsky
Keyword(s):  
Hölder Means
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