We revisit some topics of classical thermostatistics from the perspective o
f the nonextensive optimal Lagrange multipliers formalism (OLM), a recently
introduced technique for dealing with the maximization of Tsallis' informa
tion measure. It is shown that equipartition and virial theorems can be rep
roduced by Tsallis' nonextensive formalism independently of the value of th
e nonextensivity index. (C) 2000 Elsevier Science B.V. All rights reserved.