I’m no Greek scholar but here’s what I could find. Links are to Bible Hub with much fuller info:
Hikanos can mean “sufficient in ability, i. e. meet, fit”.
Axios can mean “of one who has merited anything,
worthy”.
an is a negative particle negating
axios so
anaxios should mean roughly the opposite.
[Edit: some examples of usage in Scripture of hikanos and axios]:
hikanos is used in the following verses:
Mt 3:11 “I am not worthy to carry his sandals.”
Mt 8:8 “Lord, I am not worthy to have you enter under my roof”
hikanos is also used to mean “large”, like a large/sizable crowd, a large sum of money, or it can mean “long” with time. It also can mean “many”.
axios is used in the following verses:
Mt 10:11 “Whatever town or village you enter, look for a worthy person in it.”
Mt 10:37-38 “Whoever loves father or mother more than me is not worthy of me, and whoever loves son or daughter more than me is not worthy of me; and whoever does not take up his cross and follow after me is not worthy of me.”
Mt 22:8 “The feast is ready, but those who were invited were not worthy to come.”
So to venture a guess,
axios refers to worth in the sense of merit or deserving, like when a person has by their actions become worthy.
Anaxios would refer to a person who by their actions has become unworthy.
Hikanos seems to refer to a person’s intrinsic worth/value rather than worth/merit acquired or lost by an action.