Displaying similar documents to “Necessary and sufficient conditions for almost regularity of uniform Birkfoff interpolation schemes.”

UR Birkhoff interpolation with rectangular sets of derivatives

Nicolae Crainic (2004)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we characterize the regular UR Birkhoff interpolation schemes ( U = uniform, R = rectangular sets of nodes) with rectangular sets of derivatives, and beyond.

An extended Prony’s interpolation scheme on an equispaced grid

Dovile Karalienė, Zenonas Navickas, Raimondas Čiegis, Minvydas Ragulskis (2015)

Open Mathematics

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An interpolation scheme on an equispaced grid based on the concept of the minimal order of the linear recurrent sequence is proposed in this paper. This interpolation scheme is exact when the number of nodes corresponds to the order of the linear recurrent function. It is shown that it is still possible to construct a nearest mimicking algebraic interpolant if the order of the linear recurrent function does not exist. The proposed interpolation technique can be considered as the extension...