The phrase "small newspaper" refers to a publication that is relatively small in size and circulation, as compared to larger newspapers. Full definition
First, a bit about me: I've been a journalist for thirty years, beginning my career at small newspapers and working my way up to larger newspapers and magazines. (forewordreviews.com)
Reviews are popping up in many smaller newspapers and magazines. (indiesunlimited.com)
It leaves them seeking out book promotion opportunities with smaller newspapers. (bookpr.com)