(
Mathematics -
Calculus)
Let f be a
bounded function defined on [a, b].
Let M(f, I) =
sup {f(x): x in interval I}.
Let P be a
finite partition such that P = {a =
t
0 <
t
1 <
t
2 < ...
t
n = b}.
The upper Darboux sum, when written as U(f, P) is the
sum from k = 1 to n of
M(f,
[t
k-1,
t
k])
|t
k - t
k-1|
See also: Darboux integral.