On Convergence of Flat Multivariate Interpolation by Translation Kernels with Finite Smoothness

Yeon Ju Lee, Charles A. Micchelli, Jungho Yoon

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

In this paper, we provide an alternate approach to the analysis of the limit of flat radial basis interpolation, thereby improving and expanding on the current understanding of this interesting problem.

Original languageEnglish
Pages (from-to)37-60
Number of pages24
JournalConstructive Approximation
Volume40
Issue number1
DOIs
StatePublished - Aug 2014

Bibliographical note

Funding Information:
The authors are grateful to the anonymous referees for providing valuable suggestions on this paper. This work was supported by the Basic Science Research Program 2012R1A1A2004518 (J. Yoon) and the Priority Research Centers Program 2009-0093827 (Y. Lee and J. Yoon) through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology, and partially supported by the US National Science of Foundation under NSF Grant DMS-1115523 (C. Micchelli).

Keywords

  • Conditionally positive definite function
  • Interpolation
  • Linearly constrained quadratic optimization
  • Polynomial
  • Positive definite function
  • Radial basis function
  • Singular integrals
  • Translation kernel

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