Tag Archives: mean square convergence of Fourier series

Math2111: Chapter 1: Fourier series. Section 5: Convergence of sequences of functions

In this blog entry you can find lecture notes for Math2111, several variable calculus. See also the table of contents for this course. This blog entry printed to pdf is available here.

In Section 2 we considered partial sums of Fourier series and we asked what happens when n \rightarrow \infty. In this entry we take a more general approach by considering sequences of functions f_1, f_2, \ldots and studying their convergence behaviour. Continue reading