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On a nonconvex separation theorem and the approximate extremal principle in Asplund spaces

✍ Scribed by T. Q. Bao

Book ID
120888491
Publisher
Springer-Verlag
Year
2013
Tongue
English
Weight
510 KB
Volume
38
Category
Article
ISSN
0251-4184

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✍ S.J. Dilworth; Ralph Howard; James W. Roberts πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 257 KB

Let n51 and B52: A real-valued function f defined on the n-simplex D n is approximately convex with respect to We determine the extremal function of this type which vanishes on the vertices of D n : We also prove a stability theorem of Hyers-Ulam type which yields as a special case the best constan