jalapeno vs capsicum

jalapeno and capsicum both are nouns.

Word	Noun	Adjective	Verb	Adverb
jalapeno	Yes	No	No	No
capsicum	Yes	No	No	No

As nouns, capsicum is a hypernym of jalapeno; that is, capsicum is a word with a broader meaning than jalapeno:

jalapeno: plant bearing very hot and finely tapering long peppers; usually red
capsicum: any of various tropical plants of the genus Capsicum bearing peppers

Other hypernyms of jalapeno include capsicum pepper plant, pepper.

jalapeno (noun)	capsicum (noun)
hot green or red pepper of southwestern United States and Mexico	any of various tropical plants of the genus Capsicum bearing peppers
plant bearing very hot and finely tapering long peppers; usually red