0
$\begingroup$

In Theorem 5.2 in Lynche (1988) "A data reduction strategy for splines with applications to the approximation of functions and data", a bound for the difference between the $(l_2,t)$ and $L^2$ norms is given (Equation 5.8), where $(l_2,t)$ is the discrete weighted norm defined in Equation 5.4.

Could this result be extended to the general $(l_p,t)$ and $L^p$ $(l_2,t)$ norms for $1\leq p\leq\infty$? Or at least for $p=1$?

Thanks in advance.

$\endgroup$

Your Answer

By clicking "Post Your Answer", you acknowledge that you have read our updated terms of service, privacy policy and cookie policy, and that your continued use of the website is subject to these policies.

Browse other questions tagged or ask your own question.