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一类对称函数Schur凹性的新证明

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Journal of Inequalities and Applications 2012, 2012:12 

doi:10.1186/1029-242X-2012-12


New proofs of Schur-concavity for a class of symmetric functions


Huan-Nan Shi , Jian Zhang,  Chun Gu


Abstract. By properties of the Schur-convex function, Schur-concavity for a

class of symmetric functions is simply proved uniform.


2000 Mathematics Subject Classi¯cation: Primary 26D15; 05E05; 26B25.


Keywords: majorization; Schur-concavity; inequality; symmetric functions;
concave functions


New proofs of Schur-concavity for a class of symmetric functions .pdf




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