Interpolation of data by smooth nonnegative functions

Charles Fefferman; Arie Israel; Garving K. Luli

doi:10.4171/rmi/938

Interpolation of data by smooth nonnegative functions

Charles Fefferman, Arie Israel, Garving K. Luli

Mathematics

Princeton University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We prove a finiteness principle for interpolation of data by nonnegative C^m and C^m-1,1functions. Our result raises the hope that one can start to understand constrained interpolation problems in which, e.g., the interpolating function F is required to be nonnegative.

Original language	American English
Pages (from-to)	305-324
Number of pages	20
Journal	Revista Matematica Iberoamericana
Volume	33
Issue number	1
DOIs	https://doi.org/10.4171/rmi/938
State	Published - 2017

ASJC Scopus subject areas

General Mathematics

Keywords

Constrained interpolation
Nonnegative interpolation
Whitney extension problem

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10.4171/rmi/938

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title = "Interpolation of data by smooth nonnegative functions",

abstract = "We prove a finiteness principle for interpolation of data by nonnegative Cm and Cm-1,1functions. Our result raises the hope that one can start to understand constrained interpolation problems in which, e.g., the interpolating function F is required to be nonnegative.",

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AU - Fefferman, Charles

AU - Israel, Arie

AU - Luli, Garving K.

N1 - Publisher Copyright: © European Mathematical Society.

PY - 2017

Y1 - 2017

N2 - We prove a finiteness principle for interpolation of data by nonnegative Cm and Cm-1,1functions. Our result raises the hope that one can start to understand constrained interpolation problems in which, e.g., the interpolating function F is required to be nonnegative.

AB - We prove a finiteness principle for interpolation of data by nonnegative Cm and Cm-1,1functions. Our result raises the hope that one can start to understand constrained interpolation problems in which, e.g., the interpolating function F is required to be nonnegative.

KW - Constrained interpolation

KW - Nonnegative interpolation

KW - Whitney extension problem

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Interpolation of data by smooth nonnegative functions

Abstract

ASJC Scopus subject areas

Keywords

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