Alan Horwitz

collaborators

2 papers

math.CA2007

Means and Hermite Interpolation

Alan Horwitz

Let $m_{2} < m_{1}$ be two given nonnegative integers with $n = m_{1} + m_{2} + 1$ . For suitably differentiable $f$ , we let $P, Q \in π_{n}$ be the Hermite polynomial interpolants to $f$ whi…

math.CV2007

Complex Ratios of Cubic Polynomials

Alan Horwitz

Let $p (w) = (w - w_{1}) (w - w_{2}) (w - w_{3}),$ with $\func{Re}w_{1}<\func{Re}w_{2}<\func{Re}w_{3}$. Assume that if the critical points of $p$ are not identical, then they cannot have equal…