数值分析方法与不等式的证明

Numerical Analysis Method And The Prove Of Inequality

利用连续函数图象的一些局部性质 ,结合数值分析方法给出二个不等式的证明 :(1 )当s∈ (0 ,1 ]时 ,成立不等式 :(144 1s-14) ss≤ 1 .(2 )当s∈ (0 ,log54]时 ,成立不等式 :(4 1s-2 ) 1-ss≥ 1 .

By using the continuous functional diagram local property and taking into account of the numerical analysis method, this paper gives the proof of two inequalities: (1) if s∈(0,1],than(144 1s-14)ss≤1,(2)if s∈(0,log_54],than(4 1s-2) 1-ss≥1 .