Abstract
This chapter considers interpolation and curve fitting using generalized polynomials under bounded measurement uncertainties from the point of view of the solution set (not the parameter set). It characterizes and presents the bounding functions for the solution set using interval arithmetic. Numerical algorithms with result verification and corresponding programs for the computation of the bounding functions in given domain are reported. Some examples are presented.
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Markov, S.M., Popova, E.D. (1996). Linear Interpolation and Estimation Using Interval Analysis. In: Milanese, M., Norton, J., Piet-Lahanier, H., Walter, É. (eds) Bounding Approaches to System Identification. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9545-5_9
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DOI: https://doi.org/10.1007/978-1-4757-9545-5_9
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