On delta Schur-convex mappings (Q2834157)

In the paper, the author gives a joint generalization of Schur convexity and delta convexity by introducing the notion of delta Schur convexity with control function. The main results of the paper are the characterizations of this concept and giving necessary and sufficient conditions on maps \(F_{j}, \;j=1, \dots, n\) under which the function defined by the sum \(\displaystyle \sum_{j=1}^{n}F(x_{j}) \) is delta Schur convex.