3 citations · 4 across the 6 of their papers we have counts for
10 papers · 1 filter
Smooth solutions to systems of linear inequalities on
Fushuai Jiang, Garving K. Luli
Fix an integer . We study the one-dimensional problem of deciding when a system of linear inequalities \begin{equation*} \sum_{j=1}^M A_{ij}(x)F_j(x)\leq f_i(x),\qquad i=1…
Optimal and Quasi-Optimal Monotone Interpolation with Curvature Control
Fushuai Jiang, Garving K. Luli
We study monotone Hermite interpolation on an interval, where both function values and first derivatives are prescribed at the nodes. Among all interpolants, we seek one…
On Solutions to Systems of Linear Inequalities
Garving K. Luli, Kevin O'Neill
Recent work of C. Fefferman and the first author has demonstrated that the linear system of equations \begin{equation*} \sum_{j=1}^M A_{ij}(x)F_j(x)=f_i(x)\hspace{.2in} (i=1,...,N)…
Interpolation with Range Restriction
Charles Fefferman, Fushuai Jiang, Garving K. Luli
Given , finite, and , how can we extend to a function such that $ λ\leq F \…
Algorithms for Nonnegative Interpolation
Fushuai Jiang, Garving K. Luli
Let be a finite set, and let . In this paper, we address the algorithmic aspects of nonnegative interpolation in the plane.…
Semialgebraic Sections Over the Plane
Charles L. Fefferman, Garving K. Luli
In this paper we settle the two-dimensional case of a conjecture involving unknown semialgebraic functions with specified smoothness. More precisely, we prove the following result:…