Garving K. Luli

activity

20122026

C^{2} (R^{2})

Interpolation

8 citations · 19 across the 16 of their papers we have counts for

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3 papers · 1 filter

math.CA2026

Semialgebraic $C^{m}$ solutions to a univariate system of linear inequalities with Nash forcing

Fushuai Jiang, Garving K. Luli

Let $(A_{ij} (x))_{1 \leq i \leq N, 1 \leq j \leq M}$ be a matrix of univariate semialgebraic functions. We study the solvability of the system of linear inequalities \begin{equatio…

math.CA2026

Smooth solutions to systems of linear inequalities on $R$

Fushuai Jiang, Garving K. Luli

Fix an integer $m \geq 0$ . 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…

math.CA2026

Optimal $C^{1, 1}$ and Quasi-Optimal $C^{2}$ 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 $C^{1, 1}$ interpolants, we seek one…

Semialgebraic Cm solutions to a univariate system of linear inequalities with Nash forcing

Smooth solutions to systems of linear inequalities on R

Optimal C1,1 and Quasi-Optimal C2 Monotone Interpolation with Curvature Control

Semialgebraic $C^{m}$ solutions to a univariate system of linear inequalities with Nash forcing

Smooth solutions to systems of linear inequalities on $R$

Optimal $C^{1, 1}$ and Quasi-Optimal $C^{2}$ Monotone Interpolation with Curvature Control