Hermite and piecewise cubic Hermite interpolation of fuzzy data. (English) Zbl 1305.65091
Summary: In this paper a cubic Hermite interpolation for fuzzy data is presented and then it is generalized to piecewise cubic Hermite interpolation. Moreover an error bound is given for piecewise cubic Hermite interpolation. The piecewise cubic Hermite interpolation is constructed under some weaker conditions than of Hermite interpolation. The results of this paper are illustrated by some examples.
MSC:
65D05 | Numerical interpolation |
26E50 | Fuzzy real analysis |
41A05 | Interpolation in approximation theory |