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 ai 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..

Constant Name

Khinchin (Khintchine) Harmonic Mean

Unit : K-1

Value : 1.74540 56624 07346 86349

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