Recent content by TaylorM0192

I think I answered my first question after proving Fejer's Theorem. Evidently, even if the Fourier series diverges at a point, its Cesaro means will still converge, and this is of course a trigonometric polynomial. So that's interesting...the standard proof of Weierstrass' Trigonometric...

Two questions, actually. These just come from me doing a couple of problems on Fourier analysis from Rudin's text (I haven't actually taken a full course in the subject; we just spent about a week studying the topic in my real analysis class). (1) The Weierstrass Approximation Theorem...

Thanks for the hint CaptainBlack - I actually proved it this morning by simply setting up the difference quotient, combining the difference of integrals, and then interchanging the separate limits which occur (one where h->0 and the other the integral itself; this is valid once we prove the...

Hello, Let me first just say, I posted this thread on mathhelpforum.com - but I read a post by Plato somewhere or another recommending here instead, since apparently the other site had some bad customer service issues... (: I want to prove that if given two functions f and g (f is assumed...