Lebesgue's lemma
For Lebesgue's lemma for open covers of compact spaces in topology see Lebesgue's number lemma
In mathematics, Lebesgue's lemma is an important statement in approximation theory. It provides a bound for the projection error.
Statement
Let (V, ||·||) be a normed vector space, U a subspace of V, and P a linear projector on U. Then for each v in V:
gollark: Do you just want... a picture of a potato?
gollark: Well, potatOS isn't receiving frequent feature updates, but yes.
gollark: Yes, people indeed computercraft.
gollark: Ultimately, it has to still listen for events or it'll be killed by the too long without yielding thing.
gollark: Hmm, it seems to have half-loaded now.
See also
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.