>> No.  The radiation of energy due to heat is proportional to the fourth 
>> power of the absolute temperature.

Also your item receives radiation from other objects nearby, and of course 
the amount depends on the temperature of them.

> And how about the conduction and/or convection of heat as a function of 
> temparature difference?

Conduction is linear with temperature difference, convection is more complex 
because it involves fluid flow.

Also, bear in mind that the thermal properties (specific heat, conductivity, 
emissivity) will change significantly with temperature, so it is really hard 
to give a straightforward function of temperature.

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