I assume you mean the energy they use. It really depends on the type of lamps. Often, electrical energy is used. A candle, as well as a lamp with a wick, uses the chemical energy in whatever fuel it uses (for example, the wax, in the case of a candle).
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If you mean electric lamps; then these lamps use electric energy and convert it to light energy.
LED lamps
Energy saving bulbs (typically LEDs) provide higher lumens per watt compared to filament lamps.
The Seven Lamps of Architecture was created in 1849.
There are two different technologies, fluorescent, and LEDs. Fluorescent light bulbs are more common; LEDs are still too expensive for mainstream use. +++ LED lamps' prices are now very competitive, certainly where I live, and make up for the unit price difference in reduced electricity consumption for a given light output. I have a mixture of incandescent, CF and LED lamps in my home, and slowly going over to LED as the existing lamps expire.
The meaning of fine art lamps are wall, ceiling or table lamps that are highly decorative and artistic. One can find many for sale on websites such as Lighting Direct.