no. 4
Quasiconvex functions can be approximated by quasiconvex polynomials
ESAIM: Control, Optimisation and Calculus of Variations, Volume 14 (2008) no. 4, pp. 795-801.

Let W be a function from the real m×n-matrices to the real numbers. If W is quasiconvex in the sense of the calculus of variations, then we show that W can be approximated locally uniformly by quasiconvex polynomials.

DOI: 10.1051/cocv:2008010
Classification: 49J45, 41A10
Keywords: Stone-Weierstrass theorem, locally uniform convergence 
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Heinz, Sebastian. Quasiconvex functions can be approximated by quasiconvex polynomials. ESAIM: Control, Optimisation and Calculus of Variations, Volume 14 (2008) no. 4, pp. 795-801. doi : 10.1051/cocv:2008010. http://www.numdam.org/articles/10.1051/cocv:2008010/

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