Interpolation by Polynomials in <i>z</i> and <i>z</i><sup>โ1</sup> in the Roots of Unity
Interpolation by Polynomials in <i>z</i> and <i>z</i><sup>โ1</sup> in the Roots of Unity
Given a function ฦ( z ), continuous on C: |z| = 1 in the complex plane, there is a close analogy between approximation in the sense of least squares by polynomials on the unit circle and interpolation by polynomials in the nth roots of unity to the same function. For โฆ