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locally uniform convergence

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Quasiconvex functions can be approximatedby quasiconvex polynomials
Sebastian Heinz
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 14 / Issue 4 / October 2008

Published online by Cambridge University Press:

30 January 2008, pp. 795-801

Print publication:

October 2008
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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.