Phu, Hoang - In: Mathematical Methods of Operations Research 67 (2008) 2, pp. 207-222
A real-valued function f defined on a convex subset D of some normed linear space is said to be inner γ-convex w.r.t. some fixed roughness degree γ 0 if there is a <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$$\nu \in]0, 1]$$</EquationSource> </InlineEquation> such that <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$${\rm sup}_{\lambda\in[2,1+1/\nu]} \left(f((1 - \lambda)x_0 + \lambda x_1) - (1 - \lambda) f...</equationsource></inlineequation></equationsource></inlineequation>