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 language | English |
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Pages (from-to) | 37-60 |
Number of pages | 24 |
Journal | Constructive Approximation |
Volume | 40 |
Issue number | 1 |
DOIs | |
State | Published - 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