二元平均的Ky Fan不等式
Ky Fan inequalities for bivariate means
摘要:
本文给出了二元齐次对称平均$M$和$N$满足Ky Fan不等式$$\frac{M}{M'}<\frac{N}{N'}\qquad\text{ and }\quad \frac{1}{M}-\frac{1}{M'}<\frac{1}{N}-\frac{1}{N'}.$$的充分条件
英文摘要:
In this note we give sufficient conditions for bivariate, homogeneous, symmetric means $M$ and $N$ to satisfy Ky Fan inequalities $$\frac{M}{M'}<\frac{N}{N'}\qquad\text{ and }\quad \frac{1}{M}-\frac{1}{M'}<\frac{1}{N}-\frac{1}{N'}.$$
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。