In your vauntings (εν ταις αλαζονιαις υμων). Old word for braggart talk (from αλαζονευομα, to act the αλαζων empty boaster Romans 1:30), common in Aristophanes, in N.T. only here and 1. John 2:16.

Glorying (καυχησις). Act of glorying, late word from καυχαομα, good if for Christ (1. Thessalonians 2:19), bad if for self as here.