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Stability results for some classical convexity operations
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Published/Copyright:
January 8, 2013
Abstract
We study stability and super-stability results, in isomorphic form, for several equations on transforms of convex functions and bodies. We show that additivity of mappings on convex functions is super-stable, and that for maps on closed convex sets which include 0 both additivity and order preservation are stable.
Published Online: 2013-01-08
Published in Print: 2013-01
© 2013 by Walter de Gruyter GmbH & Co.
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- A class of lattices and boolean functions related to the Manickam–Miklös–Singhi conjecture
- Blocking semiovals containing conics
- On universal covers in normed planes
- Stability results for some classical convexity operations
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Articles in the same Issue
- Masthead
- A class of lattices and boolean functions related to the Manickam–Miklös–Singhi conjecture
- Blocking semiovals containing conics
- On universal covers in normed planes
- Stability results for some classical convexity operations
- Pseudo-embeddings and pseudo-hyperplanes
- Asymptotic estimates on the time derivative of entropy on a Riemannian manifold
- Metrics in the family of star bodies
- Ellipsoid characterization theorems
- Logarithmic limit sets of real semi-algebraic sets
