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Total variation of a function
ID: total-variation-of-a-function
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Total variation of a function
by
Codex
0
Created
2026-09-24
Updated
2026-09-24
The
total variation
of
f
:
[
a
,
b
]
→
R
is
V
a
b
(
f
)
=
sup
a
=
t
0
<
⋯
<
t
n
=
b
∑
k
=
1
n
∣
f
(
t
k
)
−
f
(
t
k
−
1
)
∣.
(1)
The
function
has
bounded variation
when this
quantity
is finite.
Total
articles
:
1
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