For a step function on an interval
prove
Proof. Let be a partition of
such that
is constant on the open k-th subinterval of the partition.
Then is a partition of
and
for
. So,
and,
Thus,
For a step function on an interval
prove
Proof. Let be a partition of
such that
is constant on the open k-th subinterval of the partition.
Then is a partition of
and
for
. So,
and,
Thus,