A generalization of multiple Wright-convex functions via randomization. (English) Zbl 1241.26010

The author considers a general class of nonnegative real functions, which are generalizations of \(n\)-Wright-convex functions introduced by A. Gilányi and Zs. Páles [Math. Inequal. Appl. 11, No. 2, 271–282 (2008; Zbl 1141.26304)], and studied also by Gy. Maksa and Zs. Páles [J. Math. Anal. Appl. 359, No. 2, 439–443 (2009; Zbl 1175.26027)]. Series and integral representations, along with many consequences are proved. The results are, however, too complicated to be presented here.


26B25 Convexity of real functions of several variables, generalizations
26D20 Other analytical inequalities
26D99 Inequalities in real analysis
26B35 Special properties of functions of several variables, Hölder conditions, etc.
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