On linear interpolation under interval data

S. Markov, E. Popova, U. Schneider and J. Schulze

Mathematics and Computers in Simulation (MATCOM), 1996, vol. 42, issue 1, 35-45

Abstract: Some results related to the problem of interpolation of n vertical segments (xk, Yk), k = 1,…,n, in the plane with generalized polynomial functions that are linear combinations of m basic functions are presented. It is proved that the set of interpolating functions (if not empty) is bounded in every subinterval (xk, xk+1) by two unique such functions ηk− and ηk+. An algorithm with result verification for the determination of the boundary functions ηk−, ηk+ and for their effective tabulation is reported and some examples are discussed.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:42:y:1996:i:1:p:35-45

DOI: 10.1016/0378-4754(95)00110-7

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