Can you clarify what you mean when you say you 'never authorised' the transactions?
When you attempt to purchase something inside an app it will pop up a confirmation box that says 'Confim Your In App Purchase' that tells you what you are buying and the price, with cancel and buy buttons. This cannot be bypassed by apps - a finger tap on 'Buy' is required to authorise an in app purchase. Your iTunes account password will also be required, unless you made an in app purchase within the last 15 minutes.
Do you mean that an app is somehow bypassing this confirmation step and making purchases without your knowledge or consent, or do you mean that someone else is making in app purchases on a device using your iTunes account?