jalapeno pepper vs chili pepper

jalapeno pepper and chili pepper both are nouns.

Word	Noun	Adjective	Verb	Adverb
jalapeno pepper	Yes	No	No	No
chili pepper	Yes	No	No	No

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

jalapeno pepper: hot green or red pepper of southwestern United States and Mexico
chili pepper: very hot and finely tapering pepper of special pungency

Other hypernyms of jalapeno pepper include chile, chili, chilli, chilly.

jalapeno pepper (noun)	chili pepper (noun)
hot green or red pepper of southwestern United States and Mexico	very hot and finely tapering pepper of special pungency
	plant bearing very hot and finely tapering long peppers; usually red