Hermite Interpolation and Sobolev Orthogonality
نویسندگان
چکیده
Sobolev orthogonality has been studied for years. For different families of polynomials, there exist several results about recurrence relations, asymptotics, algebraic and differentation properties, zeros, etc. (see, for instance, Alfaro et al. (1999), Jung et al. (1997), Kwon and Littlejohn (1995, 1998), Marcellán et al. (1996), Pérez and Piñar (1996)); but there exist very few results establishing the relation with the theory of interpolation and approximation. In this paper, we study a connection between the general Hermite interpolation problem and a kind of discrete-continuous Sobolev bilinear form. We consider the bilinear form
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