Question

what is the difference between infumum/supremum and minimum/maximum?

Answer 1

sometimes there isn't a difference

min([0,1])=0 , max([0,1])=1
inf([0,1])=0, sup([0,1])=1

sometimes there is

min((0,1))=does not exist , max((0,1))=does not exist
inf((0,1))=0, sup((0,1))=1

the min is the smallest value in a set. the infimum is the greatest lower bound
the max is the largest value in a set. the supremum is the least upper bound

Answer 2

Thanks alot!!!
This has greatly helped. :-)