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Lebesgue function for multivariate interpolation by radial basis functions

Mehri, B ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. DOI: 10.1016/j.amc.2006.08.127
  3. Publisher: Elsevier Inc , 2007
  4. Abstract:
  5. Multivariate interpolation and approximation is a powerful tool for intuition of real world. In this paper we study Lebesgue function and Lebesgue constant for multivariate interpolation by conditionally positive definite RBFs. Also we give a conjecture about similar Bernstein and Erdös problem to multivariate case. © 2006 Elsevier Inc. All rights reserved
  6. Keywords:
  7. Interpolation ; Multivariable systems ; Problem solving ; Radial basis function networks ; Bernstein conjecture ; Lagrange form ; Lebesgue function ; Multivariate interpolation ; Function evaluation
  8. Source: Applied Mathematics and Computation ; Volume 187, Issue 1 SPEC. ISS , 2007 , Pages 306-314 ; 00963003 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0096300306011659