hair style vs pompadour

hair style and pompadour both are nouns.

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

As nouns, pompadour is a hyponym of hair style; that is, pompadour is a word with a more specific, narrower meaning than hair style:

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

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

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