DC pole | Wartość | Język |
dc.contributor.author | Fechner, Włodzimierz | - |
dc.date.accessioned | 2019-05-13T08:07:25Z | - |
dc.date.available | 2019-05-13T08:07:25Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | Aequationes Mathematicae, Vol. 87, no. 1/2 (2014), s. 71-87 | pl_PL |
dc.identifier.issn | 0001-9054 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.12128/9098 | - |
dc.description.abstract | The paper is devoted to the functional inequality (called by us Hlawka’s functional
inequality)
f(x + y) + f(y + z) + f(x + z) ≤ f(x + y + z) + f(x) + f(y) + f(z)
for the unknown mapping f defined on an Abelian group, on a linear space or on the real
line. The study of the foregoing inequality is motivated by Hlawka’s inequality:
x + y + y + z + x + z ≤ x + y + z + x + y + z ,
which in particular holds true for all x, y, z from a real or complex inner product space. | pl_PL |
dc.language.iso | en | pl_PL |
dc.rights | Uznanie autorstwa 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/pl/ | * |
dc.subject | Functional inequality | pl_PL |
dc.subject | Hlawka’s inequality | pl_PL |
dc.subject | Popoviciu’s inequality | pl_PL |
dc.subject | sublinear mapping | pl_PL |
dc.subject | additive mapping | pl_PL |
dc.subject | linear mapping | pl_PL |
dc.subject | quadratic mapping | pl_PL |
dc.subject | Dini derivative | pl_PL |
dc.subject | quadrilateral space | pl_PL |
dc.subject | Hlawka space | pl_PL |
dc.title | Hlawka's functional inequality | pl_PL |
dc.type | info:eu-repo/semantics/article | pl_PL |
dc.relation.journal | Aequationes Mathematicae | pl_PL |
dc.identifier.doi | 10.1007/s00010-012-0178-2 | - |
Pojawia się w kolekcji: | Artykuły (WNŚiT)
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