On shown picture you can see the airport of Kulusuk. The gateway to East Greenland, whether arriving from west greenland, Nuuk or Reykjavik, Iceland, a couple airlines are connected to this airstrip, In Kulusuk there is a small settlement where 250 inhabitants live, so this is not the main town of the area, you actually have to take an helikopter ride to Tasiilaq, which is the capital of East Greenland with its 2000 people.
Icelandair.com has a direct flight booking to Kulusuk, you are booka flight from JFK to Kulusuk, not directly obviously, but close.
