Journals / European Journal of Pure and Applied Mathematics (elektronik) / 2010 / Cilt: 3 - Sayı: 2
Scientific data visualization with shape preserving $C^1$ rational cubic interpolation
- Pages
- 194–212
- DOI
- —
Abstract
This paper deals with the shape preserving $ C^ 1$ rational cubic interpolation. The developed rational cubic interpolating function has only one free parameter. The approximation order of rational cubic function is investigated and range of optimal error constant is determined. Moreover, positive, constrained and monotone data preserving schemes are developed. 2000 Mathematics Subject Classifications: 68U05, 65D05, 65D07, 65D18.