Two general theorems on superstability of functional equations

Verfasser / Beitragende:
[Janusz Brzdȩk, Adam Najdecki, Bing Xu]
Ort, Verlag, Jahr:
2015
Enthalten in:
Aequationes mathematicae, 89/3(2015-06-01), 771-783
Format:
Artikel (online)
ID: 605508275
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024 7 0 |a 10.1007/s00010-014-0266-6  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00010-014-0266-6 
245 0 0 |a Two general theorems on superstability of functional equations  |h [Elektronische Daten]  |c [Janusz Brzdȩk, Adam Najdecki, Bing Xu] 
520 3 |a We prove that the superstability of some functional equations (e.g., of Cauchy, d'Alembert, Wilson, Reynolds, and homogeneity) is a consequences of two simple theorems. In this way we generalize several classical superstability results. 
540 |a The Author(s), 2014 
690 7 |a Superstability  |2 nationallicence 
690 7 |a functional equation  |2 nationallicence 
700 1 |a Brzdȩk  |D Janusz  |u Department of Mathematics, Pedagogical University, Podchora̧żych 2, 30-084, Kraków, Poland  |4 aut 
700 1 |a Najdecki  |D Adam  |u Faculty of Mathematics and Natural Sciences, University of Rzeszów, Rejtana 16A, 35-959, Rzeszow, Poland  |4 aut 
700 1 |a Xu  |D Bing  |u Department of Mathematics, Sichuan University, Chengdu, 610064, Sichuan, People's Republic of China  |4 aut 
773 0 |t Aequationes mathematicae  |d Springer Basel  |g 89/3(2015-06-01), 771-783  |x 0001-9054  |q 89:3<771  |1 2015  |2 89  |o 10 
856 4 0 |u https://doi.org/10.1007/s00010-014-0266-6  |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/s00010-014-0266-6  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Brzdȩk  |D Janusz  |u Department of Mathematics, Pedagogical University, Podchora̧żych 2, 30-084, Kraków, Poland  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Najdecki  |D Adam  |u Faculty of Mathematics and Natural Sciences, University of Rzeszów, Rejtana 16A, 35-959, Rzeszow, Poland  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Xu  |D Bing  |u Department of Mathematics, Sichuan University, Chengdu, 610064, Sichuan, People's Republic of China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Aequationes mathematicae  |d Springer Basel  |g 89/3(2015-06-01), 771-783  |x 0001-9054  |q 89:3<771  |1 2015  |2 89  |o 10