John Gill Commentary 2 Samuel 12:25

"and he sent by the hand of Nathan the prophet; and he called his name Jedidiah, for Jehovah`s sake." — 2 Samuel 12:25 (ASV)

And he sent by the hand of Nathan the prophet
Either David did; he sent by him to Bathsheba, to acquaint her with the name of the child, that it was to be Solomon; which is not so likely: or "he, David, delivered it into the hand of Nathan the prophet"; to educate it, instruct it, and bring it up in the nurture of the Lord; or rather the Lord sent a message by Nathan the prophet to David, that he loved Solomon:

and he called his name Jedidiah, because of the Lord :
that is, David also called him by this name, because of the love of the Lord unto him; for Jedidiah signifies "the beloved of the Lord"; a name and character which well agrees with the Messiah, Solomon's antitype, (Matthew 3:17) (17:5) .