add8 - -, ] as f ( x ) = 0 if- x < 1 if x . (a)...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Additional Problems 1. Consider a set of polynomial, { 1 2 , ax + b } . (a) Find a > 0 and b such that the above set is an orthonormal set in C [ - 2 , 2]. (b) Find the least squares approximation to e x on the interval [ - 2 , 2] by a linear function (a first order polynomial). 2. A Fourier series can be found even for a non-continuous functions if it is square-integrable. Consider a function defined on the interval [
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: -, ] as f ( x ) = 0 if- x < 1 if x . (a) Draw a graph of f ( x ). (b) Find a Fourier series of f ( x ). (c) What value does the Fourier series found in (b) have at x = 0? Compare this to the value of f (0). 1...
View Full Document

Ask a homework question - tutors are online