Geodesic
On weighted \((0,2)\)-type interpolation
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 206-223
The weighted (0,2)-interpolation with additional Hermite-type conditions is studied in a unified way with respect to the existence, uniqueness and representation (explicit formulae). Sufficient conditions are given on the nodes and the weight function, for the problem to be regular. Examples are presented on the zeros of the classical orthogonal polynomials.
Classification : 41A05
Keywords: Birkhoff interpolation, P$\acute $al-type interpolation, Hermite interpolation, weighted (0, 2)-interpolation, regularity, explicit formulae 
@article{ETNA_2006__25__a17,
     author = {L\'en\'ard,  Margit},
     title = {On weighted \((0,2)\)-type interpolation},
     journal = {Electronic transactions on numerical analysis},
     pages = {206--223},
     year = {2006},
     volume = {25},
     zbl = {1107.41003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__25__a17/}
}
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%A Lénárd,  Margit
%T On weighted \((0,2)\)-type interpolation
%J Electronic transactions on numerical analysis
%D 2006
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Lénárd,  Margit. On weighted \((0,2)\)-type interpolation. Electronic transactions on numerical analysis, Tome 25 (2006), pp. 206-223. http://geodesic.mathdoc.fr/item/ETNA_2006__25__a17/