Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Help me please with this question.

Let $f\in C^{\infty }$ function defined as $\forall x, f(x)=f(x+2\pi )$. Let $e_{n}$ be a summation error of n-segment trapezoidal rule. Prove that $\forall \alpha \geq 0$, $\exists C>0$ so that: $\left | e_{n} \right |\leqslant \frac{C}{n^{\alpha }}$

Thanks a lot!

share|cite|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.