The necessary and sufficient condition for \(S\)-convexity and \(S\)-geometrically convexity of Gini mean. (Chinese. English summary) Zbl 1150.52305
Summary: The paper obtains the necessary and sufficient condition for \(S\)-convexity and \(S\)-geometrically convexity of Gini mean, and strengthens a known result.
MSC:
| 52A40 | Inequalities and extremum problems involving convexity in convex geometry |
| 52A01 | Axiomatic and generalized convexity |
