Final answer:
Authoritarian parenting is the parenting style that can be characterized as strict and punitive, often involving rejection and high demands.
Step-by-step explanation:
The parenting style that can be characterized as strict and punitive, often involving rejection and high demands, is authoritarian parenting. Authoritarian parents place a high value on conformity and obedience, are strict and tightly monitor their children, and express little warmth. They have high expectations and set strict rules, and tend to show little flexibility or willingness to make exceptions to those rules.