2 papers
math.CA2026
The smoothest average and some extremal problems for polynomials
José Gaitán, Carlos Garzón, José Madrid
We study the problem of finding the "smoothest'' local average of a function when we consider its convolution with suitable kernels . The measurement…
math.CA2025
On suprema of convolutions on discrete cubes
José Gaitan, José Madrid
We find the optimal constant such that \begin{equation*} \|f_1*f_2*\dots*f_{k}\|_{\infty}\geq C\prod_{i=1}^{k}\|f_i\|_1 \end{equation*} for functions $f_i:\{0,1\}^d\to\mathbb{R…