Hanner不等式及其推广

Hanner's Inequality and Its Generalization

【目的】给出Hanner不等式的一个非常简洁的初等证明。【方法】利用幂函数的级数展式进行研究。【结果】得到了Hanner不等式的一个简洁证明。【结论】在幂函数的级数展式基础上得到了2个Hanner不等式的推广。

[Purposes]Give a preliminary proof of the Hanner＇s inequality.[Methods]Making use of the series expansion of power function.[Findings]Get a preliminary proof of the Hanner＇s inequality.[Conclusions]Base on the series expansion of power function,get two gerneralizations of Hanner＇s inequality.