The moment problem, also called "Hausdorff's moment problem" or the "little moment problem," may be stated as follows. Given a sequence of numbers 
, under what conditions
is it possible to determine a function 
of bounded variation in the interval 
such that
 |
for 
,
1, .... Such a sequence is called a moment sequence,
and Hausdorff (1921ab) was the first to obtain necessary and sufficient conditions
for a sequence to be a moment sequence.
