Shi and Zhang Journal of Inequalities and Applications 2013, 2013:527
http://www.journalofinequalitiesandapplications.com/content/2013/1/527

Some new judgement theorems of Schur geometric and Schur harmonic convexities
for a class of symmetric functions

Huan-Nan Shi and Jing Zhang

Some new judgement theorems of Schur geometric and Schur harmonic convexities fo.pdf

Abstract:
The judgement theorems of Schur geometric and Schur harmonic convexities for a
class of symmetric functions are given. As their application, some analytic inequalities
are established.

MSC: Primary 26D15; 05E05; 26B25

Keywords: Schur geometric convexity; Schur harmonic convexity; inequality;
symmetric function

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