Open AccessA Reverse Analytic Inequality for the Elementary Symmetric Function with Applications
Author(s) -
Huan-Nan Shi,
Jing Zhang
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/674567
Subject(s) - convexity , inequality , harmonic function , mathematics , function (biology) , harmonic mean , simplex , harmonic , symmetric function , pure mathematics , combinatorics , mathematical analysis , statistics , physics , evolutionary biology , biology , quantum mechanics , financial economics , economics
We give a reverse inequality involving the elementary symmetric function by use of the Schur harmonic convexity theory. As applications, several new analytic inequalities for the n-dimensional simplex are established
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