%0 Journal Article %T Best Approximation of Multivariate Functions in L_1 and L_2 by Optimization %A Majid Amirfakhrian %J Mathematical Sciences Quarterly Journal %D 2010 %I Springer %X 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. %K Best Approximation %K Multivariate Polynomials %K Linear Programming %K Quadratic Programming. %U http://mathscience.kiau.ac.ir/Content/Vol4No2/7.pdf