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A dichotomy result for strictly increasing bisymmetric maps

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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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
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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