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＋＋.
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
