Here "name" refers to honor and authority. Alternate translation: "as the honor and authority he has inherited is superior to their honor and authority" (See: [[rc://en/ta/man/translate/figs-metonymy]])
The author speaks of receiving honor and authority from his father as if it were inheriting wealth and property from his father. Alternate translation: "he has received" (See: [[rc://en/ta/man/translate/figs-metaphor]])