03/16/2011, 12:18 AM
perhaps x {y} z is the mean ONLY for 0 < y < 1
and x {y} z for y > 1 is simply the (y-floor(y)) th iteration of x {floor(y)} z.
but that has troubles : the definition is piecewise and the iterations are not uniquely defined for fractional iterations.
and x {y} z is not analytic.
and x {y} z for y > 1 is simply the (y-floor(y)) th iteration of x {floor(y)} z.
but that has troubles : the definition is piecewise and the iterations are not uniquely defined for fractional iterations.
and x {y} z is not analytic.
