Local characterization of strongly convex sets
نویسندگان
چکیده
منابع مشابه
Local characterization of strongly convex sets
Strongly convex sets in Hilbert spaces are characterized by local properties. One quantity which is used for this purpose is a generalization of the modulus of convexity δΩ of a set Ω. We also show that limε→0 δΩ(ε)/ε 2 exists whenever Ω is closed and convex.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2013
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2012.10.071