From Longman Dictionary of Contemporary Englishimprove on/upon something phrasal verbBETTERto do something better than before or make something better than before Bertorelli has scored 165 points, and I don’t think anyone will improve on that. → improve→ See Verb table
Examples from the Corpus
improve on/upon • He did some things he will improve on.• Often the drafter will be able to improve on a precedent.• Lakatos developed his picture of science in an attempt to improve on, and overcome the objections to, Popperian falsificationism.• So in terms of looking at myself as a project, we want to improve upon my current attitudes and behaviors.• Everyone tries to improve on past performances and learn from mistakes.• Being conned by the computer into thinking that it can always improve on the data.• But there are now several recognised cooking methods that not only maintain the standards of traditional cooking, but improve on them.• A dual scan display improves on this by dividing the screen in two and refreshing each half separately.From Longman Business Dictionaryimprove on/upon something phrasal verb [transitive] to do something better than it was done before, or to make something better than it was beforeThe government hopes to improve on the 3% economic growth of the past two years. → improve→ See Verb table 