Talk:Cauchy principal value
|WikiProject Mathematics||(Rated Start-class, Mid-priority)|
I would rewrite the article, using notation
- I would only use this notation if you think it is worth introducing to readers who have never seen it before. The notation is not common, from what I can tell.Njerseyguy (talk) 07:53, 11 March 2009 (UTC)
Confusing sentence in "Formulation"
"In the case of Lebesgue-integrable functions, that is, functions which are integrable in absolute value, these definitions coincide with the standard definition of the integral."
I don´t understand the intened meaning of this sentence, since Lebesgue-integrable functions ≠ functions which are integrable in absolute value. The class of Lebesgue-integrable functions is broader than that.--188.8.131.52 (talk) 09:56, 20 April 2010 (UTC)
Almost the only?
I think the requirement that the lateral limits exist as extended reals is not necessary. Considere the example:
We see that
which implies the lateral limit does not exist. Nonetheless, I would say that
where I have used that f is odd so that
By the way, I see no problem in saying that