Brian Simanek

collaborators

3 papers

math.CA2025

Analytic Versus Algebraic Density of Polynomials

Christian Berg, Brian Simanek, Richard Wellman

We show that under very mild conditions on a measure $μ$ on the interval $[0, \infty)$ , the span of ${x^{k}}_{k = n}^{\infty}$ is dense in $L^{2} (μ)$ for any $n = 0, 1, \dots$ . We present…

math.CA2024

Algebraic Versus Analytic Density of Polynomials

Brian Simanek, Richard Wellman

We show that under very mild conditions on a measure $μ$ on the real line, the span of ${x^{n}}_{n = j}^{\infty}$ is dense in $L^{2} (μ)$ for any $j \in N$ . We also present a sli…

math.CA2024

On Some Convexity Questions of Handelman

Brian Simanek

We resolve some questions posed by Handelman in 1996 concerning log convex integrable functions. In particular, we give a negative answer to a question he posed concerning the inte…