Quasiconvex functions can be approximated by quasiconvex polynomials
ESAIM: Control, Optimisation and Calculus of Variations, Tome 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 : https://doi.org/10.1051/cocv:2008010
Classification : 49J45,  41A10
Mots clés : Stone-Weierstrass theorem, locally uniform convergence
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title = {Quasiconvex functions can be approximated by quasiconvex polynomials},
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Heinz, Sebastian. Quasiconvex functions can be approximated by quasiconvex polynomials. ESAIM: Control, Optimisation and Calculus of Variations, Tome 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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