Remarks on stability of some inhomogeneous functional equations

Verfasser / Beitragende:
[Janusz Brzdęk]
Ort, Verlag, Jahr:
2015
Enthalten in:
Aequationes mathematicae, 89/1(2015-02-01), 83-96
Format:
Artikel (online)
ID: 605508054
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024 7 0 |a 10.1007/s00010-014-0274-6  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00010-014-0274-6 
100 1 |a Brzdęk  |D Janusz  |u Department of Mathematics, Pedagogical University, Podchorążych 2, 30-084, Kraków, Poland  |4 aut 
245 1 0 |a Remarks on stability of some inhomogeneous functional equations  |h [Elektronische Daten]  |c [Janusz Brzdęk] 
520 3 |a This is an expository paper in which we present some simple observations on the stability of some inhomogeneous functional equations. In particular, we state several stability results for the inhomogeneous Cauchy equation $$f(x+y)=f(x)+f(y)+d(x,y)$$ f ( x + y ) = f ( x ) + f ( y ) + d ( x , y ) and for the inhomogeneous forms of the Jensen and linear functional equations. 
540 |a The Author(s), 2014 
690 7 |a Cauchy equation  |2 nationallicence 
690 7 |a Cocycle  |2 nationallicence 
690 7 |a Hyperstability  |2 nationallicence 
690 7 |a Stability of functional equations  |2 nationallicence 
773 0 |t Aequationes mathematicae  |d Springer Basel  |g 89/1(2015-02-01), 83-96  |x 0001-9054  |q 89:1<83  |1 2015  |2 89  |o 10 
856 4 0 |u https://doi.org/10.1007/s00010-014-0274-6  |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/s00010-014-0274-6  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Brzdęk  |D Janusz  |u Department of Mathematics, Pedagogical University, Podchorążych 2, 30-084, Kraków, Poland  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Aequationes mathematicae  |d Springer Basel  |g 89/1(2015-02-01), 83-96  |x 0001-9054  |q 89:1<83  |1 2015  |2 89  |o 10