1) to increase beyond measure
2) to grow exceedingly
Part of Speech: verb
Citing in TDNT: 8:517, 1229
From G5228 and G837; to increase above ordinary degree: - grow exceedingly.
These two sites give similar information, with the definition from several dictionaries and statistics on the use of the word.
Perseus Digital Library
University of Chicago's Logion lexicon
Thayer's dictionary plus other information.
From this site's dictionary (in Italian)
Click on the first column to search for that word as a form of the root ὑπεραυξάνω; click on the second column to search for that grammatical form of the root ὑπεραυξάνω; click on the third column to search for that word and grammatical form; click on the total to search for the root ὑπεραυξάνω.