pompadour vs hair style

pompadour and hair style both are nouns.

Word	Noun	Adjective	Verb	Adverb
pompadour	Yes	No	Yes	No
hair style	Yes	No	No	No

As nouns, hair style is a hypernym of pompadour; that is, hair style is a word with a broader meaning than pompadour:

pompadour: a hair style in which the front hair is swept up from the forehead
hair style: the arrangement of the hair (especially a woman's hair)

Other hypernyms of pompadour include coif, coiffure, hairdo, hairstyle.

pompadour (noun)	hair style (noun)
a hair style in which the front hair is swept up from the forehead	the arrangement of the hair (especially a woman's hair)

pompadour (verb)	hair style (verb)
style women's hair in a pompadour