I've been searching for the proof of this formula, I think the main problem is that the book doesn't really give it a name, therefore it's hard to search it up even online. I read the topics suggested by the site while I was asking this question but coulnd't find this exact formula.
Can anyone help me find the proof or suggest some resources where to find it?

Thanks in advance.

(Sorry for the italian)

  • $\begingroup$ Estimate of the quadrature error Let ... Under these hypothesis of regularity of the function, the following result holds (the proof of which is found in the example at ...) Let .. Then ... $\endgroup$ – Yves Daoust Jul 11 '18 at 17:02
  • $\begingroup$ Without knowledge of $\gamma_n$ and/or more context, it is impossible to know. $\endgroup$ – Yves Daoust Jul 11 '18 at 17:04
  • $\begingroup$ Apparently the theorem in question is for some specific class of quadrature rules because it's not true for all quadrature rules. If you knew the theorem were true for a given quadrature rule, as it is for Gaussian-type rules, it would be a snap to find $k$ and $\gamma_n$. I have never seen a readable proof that the theorem is valid for Simpson's $3/8$ rule athough or course it is. $\endgroup$ – user5713492 Jul 12 '18 at 0:34

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.