Khinchin (Khintchine) Harmonic Mean

Khinchin Harmonic Mean is introduced by Aleksandr Yakovlevich Khinchin. It is proved for almost all the real numbers. Here the coefficient a_i of x in a finite geometric mean will be based on the independent value x. This is called as Khinchin Constant. Khinchin or Khintchine harmonic mean constant of a continued fraction can be given as

k_-1 = 1.7454056624..

Khinchin Harmonic Mean is introduced by Aleksandr Yakovlevich Khinchin. It is proved for almost all the real numbers. Here the coefficient a_i of x in a finite geometric mean will be based on the independent value x. This is called as Khinchin Constant. Khinchin or Khintchine harmonic mean constant of a continued fraction can be given as

k_-1 = 1.7454056624..