These palmettos are called cabbage palms.
cabbage palmetto definition by Webster's New World
Webster's New World College Dictionary Copyright © 2010 by Wiley Publishing, Inc., Cleveland, Ohio. Used by arrangement with John Wiley & Sons, Inc.
cabbage palmetto definition by American Heritage Dictionary
A species of palmetto (Sabal palmetto) native to the southeast United States and the Bahamas, having an edible terminal bud and leaves used in religious services on Palm Sunday. Also called cabbage palm.