Generalized Birkhoff interpolation schemes: conditions for almost regularity.
Crainic, Nicolae (2003)
Acta Universitatis Apulensis. Mathematics - Informatics
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Crainic, Nicolae (2003)
Acta Universitatis Apulensis. Mathematics - Informatics
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Crainic, Nicolae (2003)
Acta Universitatis Apulensis. Mathematics - Informatics
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Crainic, Nicolae (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
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Nicolae Crainic (2004)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we characterize the regular UR Birkhoff interpolation schemes ( uniform, rectangular sets of nodes) with rectangular sets of derivatives, and beyond.
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...
Crainic, M., Crainic, N. (2010)
Acta Mathematica Universitatis Comenianae. New Series
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Crainic, N. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Marius Crainic, Nicolae Crainic (2009)
Commentationes Mathematicae Universitatis Carolinae
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Finding the normal Birkhoff interpolation schemes where the interpolation space and the set of derivatives both have a given regular “shape” often amounts to number-theoretic equations. In this paper we discuss the relevance of the Pell equation to the normality of bivariate schemes for different types of “shapes”. In particular, when looking at triangular shapes, we will see that the conjecture in Lorentz R.A., , Lecture Notes in Mathematics, 1516, Springer, Berlin-Heidelberg, 1992,...