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

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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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     author = {Heinz, Sebastian},
     title = {Quasiconvex functions can be approximated by quasiconvex polynomials},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {795--801},
     publisher = {EDP-Sciences},
     volume = {14},
     number = {4},
     year = {2008},
     doi = {10.1051/cocv:2008010},
     mrnumber = {2451797},
     zbl = {1148.49012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008010/}
}
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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

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