3 problems

Let $\mathscr{C}_p$ denote the optimization constant considered in the paper for $p>2$. Brevig's conjecture. The function … is decreasing for $p>2$. The conjecture concerns the glo…

Fix $0<p<\infty$, and let $\mathscr{K}_p$ be the best constant in Korevaar's inequality for point evaluation on the imaginary axis, namely…

Let $\mathscr{C}_p$ denote the point-evaluation constant associated with the Paley–Wiener space $PW^p$. Monotonicity conjecture. The function … is strictly decreasing on…