Title of article
Local characterization of strongly convex sets
Author/Authors
Weber، نويسنده , , Alexander and Reiكig، نويسنده , , Gunther، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2013
Pages
8
From page
743
To page
750
Abstract
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 δ Ω of a set Ω . We also show that lim ε → 0 δ Ω ( ε ) / ε 2 exists whenever Ω is closed and convex.
Keywords
Strongly convex set , Modulus of convexity , Strong convexity , Hilbert space , convexity
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2013
Journal title
Journal of Mathematical Analysis and Applications
Record number
1563408
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