Final answer:
Tiberius and Claudius are noted as well-respected successors after Augustus, with Tiberius's military and leadership skills and Claudius's competence in governance despite being underestimated due to his physical infirmities.
Step-by-step explanation:
After the death of Augustus, his stepson Tiberius became the emperor and was one of the most well-respected successors in the early Roman Empire. Tiberius's reputation was derived from his competent leadership, military skills, and efforts to continue Augustus's policies, although he was not universally loved and faced various challenges during his rule. It is important to note that other emperors also contributed positively to the empire in different ways, with Claudius being highlighted as a particularly competent ruler from the Julian line after Augustus due to his administrative skills and governance reforms. Claudius managed to improve the Roman state by undertaking significant public works and legal reforms, despite personal challenges and initially being underestimated.