neonatology vs paediatrics

neonatology and paediatrics both are nouns.

Word	Noun	Adjective	Verb	Adverb
neonatology	Yes	No	No	No
paediatrics	Yes	No	No	No

As nouns, paediatrics is a hypernym of neonatology; that is, paediatrics is a word with a broader meaning than neonatology:

neonatology: that branch of pediatric medicine concerned with the newborn; the diagnosis and treatment of neonates
paediatrics: the branch of medicine concerned with the treatment of infants and children

Other hypernyms of neonatology include pediatric medicine, pediatrics, pedology.

neonatology (noun)	paediatrics (noun)
that branch of pediatric medicine concerned with the newborn; the diagnosis and treatment of neonates	the branch of medicine concerned with the treatment of infants and children