Weierstrass approximation theorem
If is a continuous real-valued function on a interval then for all there exists a polynomial which satisfies This theorem also holds for compact subsets of The Stone-Weierstrass theorem is a generalization to even more general situations.
Title | Weierstrass approximation theorem |
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Canonical name | WeierstrassApproximationTheorem |
Date of creation | 2013-03-22 14:34:52 |
Last modified on | 2013-03-22 14:34:52 |
Owner | Tobi (6409) |
Last modified by | Tobi (6409) |
Numerical id | 7 |
Author | Tobi (6409) |
Entry type | Theorem |
Classification | msc 41A10 |