# Quasiconvex functions can be approximated by quasiconvex polynomials

ESAIM: Control, Optimisation and Calculus of Variations (2008)

- Volume: 14, Issue: 4, page 795-801
- ISSN: 1292-8119

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topHeinz, Sebastian. "Quasiconvex functions can be approximated by quasiconvex polynomials." ESAIM: Control, Optimisation and Calculus of Variations 14.4 (2008): 795-801. <http://eudml.org/doc/250277>.

@article{Heinz2008,

abstract = {
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.
},

author = {Heinz, Sebastian},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Stone-Weierstrass theorem; locally uniform convergence},

language = {eng},

month = {1},

number = {4},

pages = {795-801},

publisher = {EDP Sciences},

title = {Quasiconvex functions can be approximated by quasiconvex polynomials},

url = {http://eudml.org/doc/250277},

volume = {14},

year = {2008},

}

TY - JOUR

AU - Heinz, Sebastian

TI - Quasiconvex functions can be approximated by quasiconvex polynomials

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2008/1//

PB - EDP Sciences

VL - 14

IS - 4

SP - 795

EP - 801

AB -
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.

LA - eng

KW - Stone-Weierstrass theorem; locally uniform convergence

UR - http://eudml.org/doc/250277

ER -

## References

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