Garving K. Luli

activity

20122026

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

Interpolation

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

collaborators

Showing 2021Show all

4 papers · 1 filter

math.FA2021

Smooth Selection for Infinite Sets

Fushuai Jiang, Garving K. Luli, Kevin O'Neill

Whitney's extension problem asks the following: Given a compact set $E \subset R^{n}$ and a function $f : E \to R$ , how can we tell whether there exists $F\in C^m(\mathb…

math.CA2021

$C^{2}$ Interpolation with Range Restriction

Charles Fefferman, Fushuai Jiang, Garving K. Luli

Given $- \infty < λ < Λ < \infty$ , $E \subset R^{n}$ finite, and $f : E \to [λ, Λ]$ , how can we extend $f$ to a $C^{m} (R^{n})$ function $F$ such that $ λ\leq F \…

math.CA2021★ 8 cited

Algorithms for Nonnegative $C^{2} (R^{2})$ Interpolation

Fushuai Jiang, Garving K. Luli

Let $E \subset R^{2}$ be a finite set, and let $f : E \to [0, \infty)$ . In this paper, we address the algorithmic aspects of nonnegative $C^{2}$ interpolation in the plane.…

math.CA2021

$C^{m}$ 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:…

Smooth Selection for Infinite Sets

C2 Interpolation with Range Restriction

Algorithms for Nonnegative C2(R2) Interpolation

Cm Semialgebraic Sections Over the Plane

$C^{2}$ Interpolation with Range Restriction

Algorithms for Nonnegative $C^{2} (R^{2})$ Interpolation

$C^{m}$ Semialgebraic Sections Over the Plane