Juan C. Vera

activity

20212026

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math.OC2026

Squared polynomial approximation kernels for the hypercube: improved error bounds and implications for Lasserre hierarchies

Sander Gribling, Etienne de Klerk, Juan C. Vera

We propose a new family of polynomial approximation kernels for approximating nonnegative polynomials on the hypercube $[- 1, 1]^{n}$ . Our Kernels produce polynomial sums-of-squares of…

math.OC2026

Degree Bounds for Positivstellensätze of general semialgebraic sets

Olga Heijmans-Kuryatnikova, Juan C. Vera, Luis F. Zuluaga

Let $p_{m i n}$ denote the minimum of a polynomial $p$ over a (general) compact semialgebraic set $S \subseteq R^{n}$ . A standard way to approximate $p_{m i n}$ is via hierarc…