| Tartalmi leírás: |
In this paper we investigate the (?,?,a,b)-convex functions which is a common generalization of the usual convexity, the s-convexity in first and second sense, the h-convexity, the Godunova-Levin functions and the P-functions. This notion of convexity was introduced by Maksa and Páles.
The main goal of the paper is to prove some regularity and Bernstein-Doetsch type results for (?,?,a,b)-convex functions.
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