Pointwise Estimates Formultivariate Interpolation Using Conditionally Positive Definite Functions
نویسنده
چکیده
We seek pointwise error estimates for interpolants, on scattered data, constructed using a basis of conditionally positive deenite functions of order m, and polynomials of degree not exceeding m-1. Two diierent approaches to the analysis of such interpolation are considered. The former uses distributions and reproducing kernel ideas, whilst the latter is based on a Lagrange function approach. Error estimates in terms of a point density measure are given for both methods of analysis.
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تاریخ انتشار 2007