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Best Approximation of Multivariate Functions in L_1 and L_2 by OptimizationKeywords: Best Approximation , Multivariate Polynomials , Linear Programming , Quadratic Programming. Abstract: In this paper we consider the problem of the best approximation of a continuous multivariate function in two spaces ${mathcal{L}}_1$ and ${mathcal{L}}_2$ by optimization.
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