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Convex sets and the bounded slope condition

Convex sets and the bounded slope condition

Let Ω be a bounded open convex set in R n with boundary Γ m This paper concerns the class B(Γ) of functions φ(x\ defined on Γ, satisfying a bounded slope condition and its closure B(Γ) in C°(Γ).The class B(Γ) is of interest because of its occurrence in the theory …