From a theorem of R. Ger and T. Kochanek to marginal joints of means
| Autor: | Witold Jarczyk, Justyna Jarczyk, Zoltán Daróczy |
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| Rok vydání: | 2015 |
| Předmět: |
Mathematics(all)
Class (set theory) Generalization Applied Mathematics General Mathematics Open problem 010102 general mathematics 010103 numerical & computational mathematics 01 natural sciences Connection (mathematics) Algebra Mathematics Subject Classification Quasi-arithmetic mean Discrete Mathematics and Combinatorics 0101 mathematics Mathematics |
| Zdroj: | Aequationes mathematicae. 90:211-233 |
| ISSN: | 1420-8903 0001-9054 |
| DOI: | 10.1007/s00010-015-0382-y |
| Popis: | We answer in the negative a problem posed in Daroczy (Report on 52nd Inter- national Symposium on Functional Equations. Aequat. Math., 2015) by the first author, in connection with a result of Ger and Kochanek (Colloq Math 115:87-99, 2009), and its generalization formulated in Daroczy et al. (Report on 52nd International Symposium on Functional Equations. Aequat. Math., 2015). A further generalization is posed as an open problem. Elaborating an idea of the construction of means presented in Examples 1.2 and 1.4 we come to the notion of marginal joints of means. It provides a pretty wide class of means extending two given means on adjacent intervals. Mathematics Subject Classification. Primary 26E60; Secondary 39B22. |
| Databáze: | OpenAIRE |
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