A relation of weak majorization and its applications to certain inequalities for means

作者：Wu Shan He^*; Shi Huan Nan

来源：Mathematica Slovaca, 2011, 61(4): 561-570.

DOI：10.2478/s12175-011-0028-z

• weak majorization
• inequality
• Schur-concavity
• elementary symmetric function
• power mean
• arithmetic mean
• geometric mean

A relation of weak majorization for n-dimensional real vectors is established, the result is then used to derive some inequalities involving the power mean, the arithmetic mean and the geometric mean in n variables.

• 出版日期2011-8
• 单位南宁师范大学; 北京联合大学; 龙岩学院