Maksa, Gyula István and Nizsalóczki, Enikő (2006) Quasi-sums in several variables. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 22 (2). pp. 193-207. ISSN 0866-0174
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Abstract
In this note we introduce the notions of quasi-sums and of the local quasi-sums in several variables, respectively. We prove that the local quasi-sums are also quasi-sums. We show how this result can be applied to find the continuous solutions of a particular aggregation equation that are strictly monotonic in each variable. Finally we give a proof of a known result on the aggregation equation shorter than that is given in the literature.
| Item Type: | Article |
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| Uncontrolled Keywords: | Quasi-sum, local quasi-sum, equation of aggregation |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 31 Jan 2024 13:38 |
| Last Modified: | 31 Jan 2024 13:38 |
| URI: | http://real.mtak.hu/id/eprint/186858 |
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