Bessenyei, Mihály and Pénzes, Evelin (2023) Support theorems for generalized monotone functions. Journal of Convex Analysis. ISSN 0944-6532 (In Press)
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Abstract
This note presents a complete solution of the support problem for functions that are generalized monotone in the sense of Beckenbach. The key tool of the proof is Tornheim's uniform convergence theorem. As applications, we improve some known support results and give an abstract version of the Hermite--Hadamard inequality.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | dr Mihály Bessenyei |
| Date Deposited: | 16 Sep 2022 13:34 |
| Last Modified: | 03 Apr 2023 08:00 |
| URI: | http://real.mtak.hu/id/eprint/148855 |
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