If a medical provider needs to bring their children to that provider's workplace, (this is a business owner),is it a hipaa violation for those children to stay in the clinic during the day?

As long as they are kept away from patient care areas and the waiting rooms it is okay.

As long as they are kept away from patient care areas and the waiting rooms it is okay.

Children of employees can't be in patient waiting rooms but other patients can? A "HIPAA violation" would occur if other patients overheard health care info. Pertaining to a particular patient, sure. But only if such information "leaked". So, by the same token, it would only be a violation if the children heard such information.

Or are there other HIPAA regs. Which specifically prohibit employee children from being in a waiting room?

They can be in many areas but not in the treatment area.
** one may argue about a child too young to understand anything but there should just not be there to start with.