principal value of power

Since Ostle and Terwilliger discovered the inequality in 1957,the sequential relationship among mean value of index,mean value of logarithm and mean value of power has aroused great interests of many scholars,for example,the inequality in the first to the ninth reference books.

自1957年Ostle和Terwilliger发现不等式以来,指数均值、对数均值和幂均值之间的序关系引起了不少学者的兴趣。

As its generalization,we also establish that a positive proportion of even integers can be written as the sum of two squares of primes and two powers of 2.

1934年,Romanoff证明了：可表为一个素数和一个2的方幂之和的大奇数在全体正整数中具有正密度。