广义Heronian平均与广义Muirhead平均的统一推广Ⅱ 被引量：1

Unified Promotion Ⅱ of the Generalized Muirhead-Heronian Means

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摘要笔者曾将广义Heronian平均及广义Muirhead平均统一推广为三参数平均Hp,q,w(x,y),研究了该平均关于(x,y)在R2++上的单调性及Schur-凸性.此文进一步研究Hp,q,w(x,y)关于(x,y)在R2++上的Schur-几何凸性及Schur-调和凸性. The author has unifiedly promoted the generalized Muirhead-Heronian means as three parameters means Hp,q,w（x,y）and studied its monotonicity and Schur-convexity on R2＋＋.This paper further studies the Schur-geometry convexity and Schur-congruity convexity of Hp,q,w（x,y）about（x,y）in R2＋＋.

作者何灯李云杰

机构地区福清第三中学

出处《广东第二师范学院学报》 2015年第5期36-47,共12页 Journal of Guangdong University of Education

关键词广义Heronian平均广义Muirhead平均 Schur-几何凸性 Schur-调和凸性 generalized Heronian means generalized Muirhead means Schur-geometry convexity Schur-congruity convexity

分类号 O122.3 [理学—基础数学]

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