To advertise an art gallery show, you need to publicize it. Reach out to the people through the newspaper, college publications and fliers. Restaurants, clothing shops and book stores can help you advertise by asking them to distribute fliers or pamphlets, if possible. Make your invitations as artful as you would a painting. A dull invitation may give a bad image to your art gallery show. Ask other artists to enlist so they can attract other customers.