An interpolation problem in generalized degree polynomial spaces
نویسندگان
چکیده
The aim of this paper is to study many interpolation problems in the space of polynomials of w-degree n. In order to do this, some new results concerning the polynomial spaces of w-degree n are given. We consider only the case of functions in two variables, but all the results obtained can be easily extended to many variables. We found a set of conditions for which, Πn,w, the space of polynomials of w-degree is an interpolation space. More details are obtained for the weight w = (1, w2). Key–Words: Generalize degree, Multivariate polynomial interpolation, whomogeneous polynomial spaces
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تاریخ انتشار 2007