Sorry - science fail...
The mass of the air in the tyre remains the same (unless you have a puncture), and the volume remains the same (constrained by the tyre). So warming the air will not make the wheels lighter, but it will slightly increase the pressure. This may act to slightly lower the rolling resistance.
The air in the frame is generally open to the outside air anyway (via the seat tube, etc) and so does not contribute to the meaurable weight of the bike.