Large publications may not let families publish similar content, but smaller, local publishers may.
In these cases, the term Death Notice may be used; typically, family members write these notices.
They provide details about the Funeral or Memorial Service and explains how to provide support.
It may include also a short biography of the deceased and is typically published in a local newspaper and then shared on social media.
Note that in some cases, the term Obituary and Death Notice may be used interchangeably.