Interpolation of data by smooth nonnegative functions

• Charles Fefferman ^[2] ; Arie Israel ^[1] ; Garving K. Luli ^[3]
  1. [1] University of Texas at Austin

     University of Texas at Austin

     Estados Unidos

     
  2. [2] Princeton University

     Princeton University

     Estados Unidos

     
  3. [3] University of California at Davis

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• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 33, Nº 1, 2017, págs. 305-324
• Idioma: inglés
• DOI: 10.4171/RMI/938
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove a finiteness principle for interpolation of data by nonnegative Cm and Cm−1,1 functions. 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.