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Bonferroni平均的Schur凸性及应用 被引量:1

Schur convexity of Bonferroni means and its application
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摘要 研究 n 元Bonferroni平均的Schur凸性,Schur几何凸性和Schur调和凸性,并建立了若干新的 n 元均值不等式. Schur-convexity,Schur geometric convexity, and Schur harmonic convexity of Bonferroni mean with n variables are studied and several new inequalities of mean value with n variables are established.
作者 王东生 付春茹 石焕南 WANG Dong-sheng;FU Chung-ru;SHI Huan-nan(Dept. of Basic Courses, Beijing Vocational College of Electronic Technology, Beijing 100176, China;College of Application of Science and Technology, Beijing United University, Beijing 102200,China;Teacher’s College, Beijing United University, Beijing 100011, China)
出处 《兰州理工大学学报》 CAS 北大核心 2019年第5期153-158,共6页 Journal of Lanzhou University of Technology
基金 北京市教育委员会科技计划面上项目(KM20111147006)
关键词 Bonferroni平均 SCHUR凸性 Schur几何凸性 Schur调和凸性 受控 不等式 Bonferroni mean Schur convexity Schur geometric convexity Schur harmonic convexity majorization inequality
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