In this paper, we extend the notions of 
arithmetico-geometric, arithmetico-harmonic 
and geometrico-harmonic operator means to 
convex functionals. We also prove that the 
arithmetico-harmonic functional mean 
coincides with the convex geometric mean 
constructed in [2]. In the quadratical case, 
we find again some results  for operators 
discussed in [1] and [6].