Conditionally \(\delta\)-midconvex functions (Q2354649)

The authors study properties of the so-called conditionally \(\delta\)-midconvex functions introduced in [\textit{A. Najdecki} et al., Acta Math. Hung. 128, No. 1--2, 131--138 (2010; Zbl 1224.26034)], and give an estimate of \(\sup f(V)\), where \(V\) is a suitable subset of a real linear space and \(f:V\to \mathbb{R}\) is a bounded from above conditionally \(\delta\)-midconvex function.