Quote by lugita15
Is that the same as Cauchy in the L1 norm?

Yes, I think Friedman's avoiding that term because this is earlier in the book than the definition of the L
^{p} spaces.
Edit: I thought about it some more, and I have to change my answer to "no". These concepts are almost the same, but the L
^{1} norm only applies to bounded real or complexvalued functions, while these are extended realvalued functions (that are almost everywhere realvalued).