Q. Is there a way to search for positivistic or interpretive peer reviewed articles?

Yes to limiting to peer-reviewed articles. Most of our databases contain that functionality.

As to the second part of your question, the positivistic or interpretive limit, then no. Most of the databases designed to limit by type of article are health science databases, and this is a type of article they do not use.

I would advise this -

a).  Select the correct database to make sure your results are in your field of study (your question gave me no context as to what that is, other than I suspect if might be literature of some sort).

b).  Your best bet is probably just to do separate keyword searches, one each for positivistic and interpretive. One way you could try to focus this, depending on the total number or results returned, is that in the advanced search of databases you can limit to searching just the abstract. I good abstract should define things about the article, and you might pick up how the author approached the subject this way.

c). Once you have conducted your search and have your results, look at the search screen for ways to limit to peer-reviewed or scholarly articles. Most of our databases are Ebsco products, and the limiters will appear in the left-hand column.

Good luck.