caa a22 4500 467939152 CHVBK 20180406153007.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s10444-004-7638-8 doi (NATIONALLICENCE)springer-10.1007/s10444-004-7638-8 Interpolation on lattices generated by cubic pencils [Elektronische Daten] [J. Carnicer, M. Gasca] Principal lattices are distributions of points in the plane obtained from a triangle by drawing equidistant parallel lines to the sides and taking the intersection points as nodes. Interpolation on principal lattices leads to particularly simple formulae. These sets were generalized by Lee and Phillips considering three-pencil lattices, generated by three linear pencils. Inspired by the addition of points on cubic curves and using duality, we introduce an addition of lines as a way of constructing lattices generated by cubic pencils. They include three-pencil lattices and then principal lattices. Interpolation on lattices generated by cubic pencils has the same good properties and simple formulae as on principal lattices. Springer, 2006 multivariate interpolation nationallicence cubic pencils nationallicence principal lattices nationallicence Carnicer J. Departamento Matematica Aplicada, Facultad de Cienceas, University of Zaragoza, 50009, Zaragoza, Spain aut Gasca M. Departamento Matematica Aplicada, Facultad de Cienceas, University of Zaragoza, 50009, Zaragoza, Spain aut Advances in Computational Mathematics Kluwer Academic Publishers 24/1-4(2006-01-01), 113-130 1019-7168 24:1-4<113 2006 24 10444 https://doi.org/10.1007/s10444-004-7638-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10444-004-7638-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Carnicer J. Departamento Matematica Aplicada, Facultad de Cienceas, University of Zaragoza, 50009, Zaragoza, Spain aut NATIONALLICENCE 700 1- Gasca M. Departamento Matematica Aplicada, Facultad de Cienceas, University of Zaragoza, 50009, Zaragoza, Spain aut NATIONALLICENCE 773 0- Advances in Computational Mathematics Kluwer Academic Publishers 24/1-4(2006-01-01), 113-130 1019-7168 24:1-4<113 2006 24 10444 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer