I keep coming across the terms pointwise and uniform convergence recently in papers. Since I don't remember ever learning about them in classes, I decided to do a little digging and figure them out.
Pointwise convergence depends upon the value of x for which the sequence of functions converges as n tends to infinity.
Uniform convergence is a stricter case when the convergence should happen irrespective of the value of x.
Update:
This lecture nails it, makes it quite simple:
Pointwise convergence depends upon the value of x for which the sequence of functions converges as n tends to infinity.
Uniform convergence is a stricter case when the convergence should happen irrespective of the value of x.
Update:
This lecture nails it, makes it quite simple:
