\(C^2(\mathbb{R}^2)\) nonnegative extension by bounded-depth operators

DOI10.1016/j.aim.2020.107391zbMath1490.41001arXiv2008.04962OpenAlexW3080875783MaRDI QIDQ2213777

Garving K. Luli, Fushuai Jiang

Publication date: 3 December 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.04962

zbMATH Keywords

nonnegative interpolationbounded depth extensionnonnegative extension operator

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation with constraints (41A29) Continuity and differentiation questions (26B05) Representation and superposition of functions (26B40)

Related Items (4)

Smooth selection for infinite sets ⋮ \(C^2\) interpolation with range restriction ⋮ Univariate range-restricted \(C^2\) interpolation algorithms ⋮ Algorithms for nonnegative \(\mathrm{C}^2(\mathbb R^2)\) interpolation

Cites Work

• Fitting a Sobolev function to data. III
• Interpolation of data by smooth nonnegative functions
• \(C^{m,\omega}\) extension by bounded-depth linear operators
• The structure of linear extension operators for \(C^m\)
• Fitting a \(C^m\)-smooth function to data. II
• Functions differentiable on the boundaries of regions
• Nonnegative \(\mathrm C^2(\mathbb R^2)\) interpolation
• Fitting a \(C^m\)-smooth function to data. I.
• Fitting a \(C^m\)-smooth function to data. III.
• Interpolation and extrapolation of smooth functions by linear operators
• Finiteness principles for smooth selection
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
• Differentiable Functions Defined in Closed Sets. I

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