Paul J. McGuire

collaborators

2 papers

math.FA2015

A Convex Stone-Weierstrass Theorem & Applications

Nathan S. Feldman, Paul J. McGuire

A convex-polynomial is a convex combination of the monomials ${1, x, x^{2}, \dots}$ . This paper establishes that the convex-polynomials on $R$ are dense in $L^{p} (μ)$ and we…

math.FA2015

Convex-Cyclic Matrices, Convex-Polynomial Interpolation & Invariant Convex Sets

Nathan S. Feldman, Paul McGuire

We define a convex-polynomial to be one that is a convex combination of the monomials ${1, z, z^{2}, \dots}$ . This paper explores the intimate connection between peaking convex-po…