Performing a song by a song writer you admire is : Homage
Homage is a special respect or acknowledgement given to a person publicly. Promoting an art work or song written by a songwriter in a way of promoting the artistic work is a typical example of a Homage.
Homage is most pronounced in a feudal system whereby the landholders provide lands to tenants in exchange of Homage.
Hence we can conclude that performing a song by a songwriter you admire is a form of Homage.
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