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| {{Short description|Generalisation of convexity}} | {{Short description|Generalisation of convexity}} |
| {{about|the generalisation of convexity used in the calculus of variations|the unrelated generalisation of convexity used in game theory{{dubious|date=August 2022}}|Quasiconvex function}} | {{about|the generalisation of convexity used in the calculus of variations|the unrelated generalisation of convexity used in microeconomics, see [[Quasiconvex function]] |
| In the [[calculus of variations]], a subfield of mathematics, '''quasiconvexity''' is a generalisation of the notion of convexity. It is used to characterise the integrand of a functional and related to the existence of minimisers. Under some natural conditions, quasiconvexity of the integrand is a necessary and sufficient condition for a functional | In the [[calculus of variations]], a subfield of mathematics, '''quasiconvexity''' is a generalisation of the notion of convexity. It is used to characterise the integrand of a functional and related to the existence of minimisers. Under some natural conditions, quasiconvexity of the integrand is a necessary and sufficient condition for a functional |
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