Abstract
In this work we discuss counterparts of some classical results connected with convex functions for a new class of functions, namely for (F, t)-convex functions. We obtain Bernstein–Doetsch, Ostrowski and Sirpiński type theorems for them. A version of a Kuhn type result is also presented.
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Adamek, M. Remarks on (F, t)-convex functions. Aequat. Math. 93, 851–857 (2019). https://doi.org/10.1007/s00010-019-00646-9
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DOI: https://doi.org/10.1007/s00010-019-00646-9
Keywords
- (F, t )-convex functions
- F-convex functions
- F-midconvex functions
- Berstein–Doetsh type theorem
- Sierpiński type theorem
- Kuhn type theorem