I submitted a paper to an applied mathematics journal. I have since found a way to generalize one of the results.
Is it acceptable to update the paper during the first review step even if I have not been requested to improve on this particular aspect?
I understand that this would create extra work for the reviewers since they would have to check that part again. However, writing a brand new paper with the additional result would probably cause even more extra work for the review community. I also understand that a dissemination strategy that incorporates some salami slicing might be better for my career, but somehow I am opposed to doing that kind of thing.