handkerchief vs bandana

handkerchief and bandana both are nouns.

Word	Noun	Adjective	Verb	Adverb
handkerchief	Yes	No	No	No
bandana	Yes	No	No	No

As nouns, bandana is a hyponym of handkerchief; that is, bandana is a word with a more specific, narrower meaning than handkerchief:

handkerchief: a square piece of cloth used for wiping the eyes or nose or as a costume accessory
bandana: large and brightly colored handkerchief; often used as a neckerchief

Other hyponyms of handkerchief include bandanna, pocket-handkerchief.

handkerchief (noun)	bandana (noun)
a square piece of cloth used for wiping the eyes or nose or as a costume accessory	large and brightly colored handkerchief; often used as a neckerchief