Those who attend the funeral you can send a brief note of gratitude to all the attendees at a very small funeral. However, if the funeral had hundreds of people in attendance, you probably won’t want to send everyone a note, but you can still be selective and send a message to those who went out of their way to comfort you.
For example, if someone went to the funeral home to help make arrangements or babysat your children, a thank you note would be appreciated.