Merge pull request #38 from SCdummer/patch-41

Exercise 3.5.3 small addition to solution

Author: TristanvanLeeuwen

ip_function_spaces.md

@@ -737,7 +737,7 @@ and substitute $f = K(K^*K)^{\mu} w = \sum_{k=0}^\infty \sigma_k^{2\mu+1}\langle
 
 $$\sum_{k=0}^{\infty} \sigma_k^{2 + 4\mu}\frac{|\langle w,u_k\rangle|^2}{\sigma_k^{2 + 4\mu}} = \|w\|^2 < \infty.$$
 
-* Starting again from the bias term, we can factor out an additional $\sigma^{4\mu}$ term. We then use that $s^{2\mu}(1 - sg_{\alpha}(s)) \leq \alpha^{2\mu} $ to find the desired result.
+* Starting again from the bias term, we can factor out an additional $\sigma^{4\mu}$ term. We then use that $s^{2\mu}(1 - sg_{\alpha}(s)) \leq \alpha^{2\mu} $ and $\alpha(\delta) = \sqrt(\delta)$ to find the desired result.
 
 
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