Yuan Xu

collaborators

2 papers

math.CA2026

Sobolev orthogonal polynomials on the conic surface

Lidia Fernandez, Teresa Perez, Miguel Pinar +1

Orthogonal polynomials with respect to the weight function $w_{I^^{2}, I^^{3}} (t) = t^{2} (1 - t)^{3}$ , $I^^{3} > - 1$ , on the conic surface ${(x, t) : ∥ x ∥ = t, x \in R^{d}, t \leq 1}$ a…

math.CA2026

Bernstein inequality on parabolic domains

Yuan Xu

Several families of sharp Bernstein inequalities are established on the weighted $L^{2}$ space over parabolic domains, which include bounded or unbounded rotational paraboloids and p…