DC pole | Wartość | Język |
dc.contributor.author | Kominek, Zygfryd | - |
dc.date.accessioned | 2020-06-30T11:55:58Z | - |
dc.date.available | 2020-06-30T11:55:58Z | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | "Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica, Opuscula Mathematica" Vol. 28, no. 4 (2008), s. 517-527 | pl_PL |
dc.identifier.issn | 2300-6919 | - |
dc.identifier.issn | 1232-9274 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.12128/14874 | - |
dc.description.abstract | Stability problems concerning the functional equations of the form
f(2x + y) = 4f(x) + f(y) + f(x + y) − f(x − y),
and
f(2x + y) + f(2x − y) = 8f(x) + 2f(y)
are investigated. We prove that if the norm of the difference between the LHS and the RHS
of one of equations (1) or (2), calculated for a function g is say, dominated by a function
' in two variables having some standard properties then there exists a unique solution f of
this equation and the norm of the difference between g and f is controlled by a function
depending on '. | pl_PL |
dc.language.iso | en | pl_PL |
dc.rights | Uznanie autorstwa-Użycie niekomercyjne 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/3.0/pl/ | * |
dc.subject | quadratic functional equations | pl_PL |
dc.subject | stability | pl_PL |
dc.title | Remarks on the stability of some quadratic functional equations | pl_PL |
dc.type | info:eu-repo/semantics/article | pl_PL |
Pojawia się w kolekcji: | Artykuły (WNŚiT)
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