This is the 11531st most frequent Russian word.
достойные
"Worthy" or "deserving."
Here, 'достойные' is used as an adjective to describe 'источники' (sources), indicating that they are deserving or of high value.
Эти книги — достойные источники знаний.
These books are worthy sources of knowledge.
In this sentence, 'достойные' is used again as an adjective, this time implying people who are deserving of respect.
Люди, сражающиеся за свои права, достойные уважения.
People fighting for their rights are worthy of respect.
Here, 'достойные' describes the type of actions needed, suggesting that they should be adequate and respectable for the given situation.