By means of Clarke’s differentiability theory, a generalization of the notion of envelope for a nondifferentiable family of curves is considered. In particular, we propose an extension of the celebrated conditions fulfilled by an envelope curve in the continuously differentiable case. An application in the theory of long-run cost curves in Economics, is also provided.
SOME REMARKS ON THE ENVELOPE OF A FAMILY OF CURVES
Mastroeni G.
2025-01-01
Abstract
By means of Clarke’s differentiability theory, a generalization of the notion of envelope for a nondifferentiable family of curves is considered. In particular, we propose an extension of the celebrated conditions fulfilled by an envelope curve in the continuously differentiable case. An application in the theory of long-run cost curves in Economics, is also provided.File in questo prodotto:
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