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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Correction to 'Gauss' mean value theorem'
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Gauss' mean value theorem by matte
Correction id: 1829
Filed on: 2003-04-28 03:06:18
Status: Accepted on 2003-05-01 19:06:01
Type: Addendum
Correction text:
- Strictly speaking, in the present formulation it is not
completely clear if the assumption is that the center $z_0$
should be in $\Omega$ or if the whole circle should be in omega.
I assume that the latter is the correct assumption. Then, it
would probably be clearer to make this explicit. For instance as:
``Let $f$ be analytic in $\Omega \subset \mathbb{C}$ and
let $C$ be a circle inside $\Omega$ with center $z_0$. Then...''
Since you introduce the notation in the theorem, it could also be nice
to give the claim as an equation.
- In the proof, it took me I while to understand that it uses the
Cauchy integral formula. You have a reference in the ``See also''
field, but would it not be clearer to write out explicitly,
for instance, that
``Using the Cauchy integral formula, we have...''?
- In the proof there is a small typo:
``\end{displaymath}.'' should be ``.\end{displaymath}''
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No comment from object owner Johan.
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