Remarks on a functional equation
A functional equation involving pairs of means is considered. It is shown that there are only constant solutions if continuous differentiability is assumed, and there may be non-constant everywhere differentiable solutions. Various other situations are considered, where less smoothness is assumed on...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
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Bolyai Institute, University of Szeged
Szeged
2015
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| Sorozat: | Acta scientiarum mathematicarum
81 No. 3-4 |
| Kulcsszavak: | Differenciálegyenlet |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-015-805-l |
| Online Access: | http://acta.bibl.u-szeged.hu/36526 |
| Tartalmi kivonat: | A functional equation involving pairs of means is considered. It is shown that there are only constant solutions if continuous differentiability is assumed, and there may be non-constant everywhere differentiable solutions. Various other situations are considered, where less smoothness is assumed on the unknown function. |
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| Terjedelem/Fizikai jellemzők: | 527-534 |
| ISSN: | 0001-6969 |