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arxiv: 1901.00337 · v2 · pith:WVGZLE5Jnew · submitted 2019-01-02 · 🧮 math.CA

Ky Fan inequalities for bivariate means

classification 🧮 math.CA
keywords fracbivariateinequalitiesmeansconditionsgivehomogeneousnote
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In this note we give sufficient conditions for bivariate, homogeneous, symmetric means $M$ and $N$ to satisfy Ky Fan inequalities $$\frac{M}{M'}<\frac{N}{N'}\qquad\text{ and }\quad \frac{1}{M}-\frac{1}{M'}<\frac{1}{N}-\frac{1}{N'}.$$

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