| Title | The propagation of uncertainty with non-Lagrangian interpolation |
| Publication Type | Journal Article |
| Year of Publication | 2001 |
| Authors | White, D.R. |
| Journal | Metrologia |
| Volume | 38 |
| Issue | 1 |
| Pagination | 63 - 69 |
| Date Published | 2001 |
| ISSN | 00261394 (ISSN) |
| Keywords | Fourier transforms, Interpolation, Lagrange interpolation, Lagrange multipliers, Least squares approximations, MATHEMATICAL MODELS, Polynomial approximation, Trigonometric functions, Uncertain systems |
| Abstract | A recent paper described the propagation of uncertainty with polynomial or Lagrange interpolation and demonstrated a number of mathematical results that simplify the calculation of uncertainty. This paper extends the analysis to any interpolation that can be expressed as a linear combination of functions. Examples of this form include Gauss, Fourier and linear least-squares interpolations, as well as a wide range of application-specific interpolations employing a combination of functional forms. Application of the results is illustrated by considering a number of the non-Lagrangian interpolation equations of the International Temperature Scale of 1990 (ITS-90). A comparison of Lagrange and least-squares approaches is used to highlight the benefits of the latter. |
| URL | http://www.scopus.com/inward/record.url?eid=2-s2.0-0034986417&partnerID=40&md5=245e0194c040b210ce1e2620e52fec2c |
| DOI | 10.1088/0026-1394/38/1/5 |
