Burai, Pál József and Kiss, Gergely and Szokol, Patrícia Ágnes (2022) A dichotomy result for strictly increasing bisymmetric maps. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. No. 127269. ISSN 0022-247X
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Official URL: https://doi.org/10.1016/j.jmaa.2023.127269
Abstract
In this paper we show some remarkable consequences of the method which proves that every bisymmetric, symmetric, reflexive, strictly monotonic binary map on a proper interval is continuous, in particular it is a quasi-arithmetic mean. Now we demonstrate that this result can be refined in the way that the symmetry condition can be weakened by assuming symmetry only for a pair of distinct points of an interval.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 03 Apr 2023 08:41 |
| Last Modified: | 03 Apr 2023 08:41 |
| URI: | http://real.mtak.hu/id/eprint/163273 |
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