The 8th chieftain of the Dúnedain (LotR/1038). The initial element of his name is the prefix ar(a)- “noble”. The remainder of the name might be the noun caun (in any of its various meaning) with the adjectival suffix -ui (as suggested by David Salo, GS/246, 342).
Sindarin
Argonui
noun. royal valour
argonui
masculine name. Argonui
Elements
Word Gloss ar(a)- “noble, royal, high” caun “prince, chief, head” -ui “-ful, having quality, adjective suffix; possibility, suitability [as verbal suffix], *-able”
ar (prefix “high, noble, royal”) + caun (“valor”) + ui (adjectival suffix)