Stability of generalized Cauchy equations
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| 003 | CHVBK | ||
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| 008 | 210128e20150201xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00010-014-0300-8 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-014-0300-8 | ||
| 245 | 0 | 0 | |a Stability of generalized Cauchy equations |h [Elektronische Daten] |c [Roman Badora, Barbara Przebieracz, Peter Volkmann] |
| 520 | 3 | |a We investigate the stability of the functional equation $$f(xy) = g(x)h(y) + k(y)$$ f ( x y ) = g ( x ) h ( y ) + k ( y ) on amenable semigroups. This equation is a common generalization of two Pexider equations stemming from Cauchy's additive and multiplicative functional equations, and it is a simple case of the Levi-Civita equation. | |
| 540 | |a The Author(s), 2014 | ||
| 690 | 7 | |a Cauchy equations |2 nationallicence | |
| 690 | 7 | |a stability in the sense of Hyers-Ulam |2 nationallicence | |
| 690 | 7 | |a Pexider equations |2 nationallicence | |
| 690 | 7 | |a Levi-Civita functional equation |2 nationallicence | |
| 700 | 1 | |a Badora |D Roman |u Instytut Matematyki, Uniwersytet Śla̧ski, Bankowa 14, 40-007, Katowice, Poland |4 aut | |
| 700 | 1 | |a Przebieracz |D Barbara |u Instytut Matematyki, Uniwersytet Śla̧ski, Bankowa 14, 40-007, Katowice, Poland |4 aut | |
| 700 | 1 | |a Volkmann |D Peter |u Institut für Analysis, KIT, 76128, Karlsruhe, Germany |4 aut | |
| 773 | 0 | |t Aequationes mathematicae |d Springer Basel |g 89/1(2015-02-01), 49-56 |x 0001-9054 |q 89:1<49 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-014-0300-8 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00010-014-0300-8 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Badora |D Roman |u Instytut Matematyki, Uniwersytet Śla̧ski, Bankowa 14, 40-007, Katowice, Poland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Przebieracz |D Barbara |u Instytut Matematyki, Uniwersytet Śla̧ski, Bankowa 14, 40-007, Katowice, Poland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Volkmann |D Peter |u Institut für Analysis, KIT, 76128, Karlsruhe, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer Basel |g 89/1(2015-02-01), 49-56 |x 0001-9054 |q 89:1<49 |1 2015 |2 89 |o 10 | ||