Multivariate Approximation Schemes and the Approximation of Linear Functionals.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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The purpose of this report is to study some multivariate numerical approximation schemes derived from a blending-function approximation of a given function of several variables, in such a way that the approximation order of the original approximation is preserved. The approximation schemes so obtained are used for the approximation of linear functionals defined over a space of functions of several variables. Also, some illustrative examples are included.
- Theoretical Mathematics