Zobrazeno 1 - 10
of 41
pro vyhledávání: '"hosszú equation"'
Autor:
Maksa, Gyula1 maksa@math.klte.hu, Sablik, Maciej2 maciej.sablik@us.edu.pl
Publikováno v:
Aequationes Mathematicae. Feb2016, Vol. 90 Issue 1, p57-66. 10p.
Autor:
Lajkó, Károly1 lajko@science.unideb.hu, Mészáros, Fruzsina1 mefru@science.unideb.hu
Publikováno v:
Aequationes Mathematicae. Feb2015, Vol. 89 Issue 1, p71-81. 11p.
Akademický článek
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Autor:
Gyula Maksa, Maciej Sablik
Publikováno v:
Aequationes mathematicae. 90:57-66
In this paper, we give all the solutions \({g,h:\mathbb{R}\to\mathbb{R}}\) (the reals) of the functional equation $$g(x)g(y)-g(x+y)=h(x+y-xy)-h(x)-h(y)+h(xy) \quad(x,y\in\mathbb{R}),$$ supposing additionally that h is continuous. This result is in co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f432b36873a862c87a1e7aad9708a40
https://doi.org/10.1007/s00010-015-0358-y
https://doi.org/10.1007/s00010-015-0358-y
Autor:
Károly Lajkó, Fruzsina Mészáros
Publikováno v:
Aequationes mathematicae. 89:71-81
In this paper we determine the general solution of some special cases of the generalized Hosszu functional equation on intervals [0,1] and (0,1).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75cd109e15b9825004d8af1a5af7a92c
https://doi.org/10.1007/s00010-014-0285-3
https://doi.org/10.1007/s00010-014-0285-3
Autor:
Zygfryd Kominek, Justyna Sikorska
Publikováno v:
Mathematical Inequalities & Applications. :61-67
We solve functional equation of the form f (x+ y− xy)+ f (xy) = 2 f ( x+ y 2 ) in the class of functions transforming the unit interval into the space of all reals. We also prove that this equation is stable in the Hyers-Ulam’s sense. Mathematics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1fc0fc76d4e2eb269352a4e82d3462c4
https://doi.org/10.7153/mia-15-06
https://doi.org/10.7153/mia-15-06
Autor:
Zygfryd Kominek
Udostępnienie publikacji Wydawnictwa Uniwersytetu Łódzkiego finansowane w ramach projektu „Doskonałość naukowa kluczem do doskonałości kształcenia”. Projekt realizowany jest ze środków Europejskiego Funduszu Społecznego w ramach Progr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::372961fce4919c9fdb919466bb687f63
https://hdl.handle.net/11089/28704
https://hdl.handle.net/11089/28704
Autor:
Sablik Maciej
Publikováno v:
Annales Mathematicae Silesianae, Vol 34, Iss 1, Pp 1-26 (2020)
Externí odkaz:
https://doaj.org/article/55b93c9017b94131ba8f22710655b8df
Autor:
Maciej Sablik
Publikováno v:
Annales Mathematicae Silesianae, Vol 34, Iss 1, Pp 1-26 (2020)
"For the first time I heard about a young mathematician of the name Zygfryd Kominek was in early 1970’s when I was a student of mathematics at the Silesian University in Katowice. I had friends studying physics at the same university, and one day I
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c88e2207d84918c5781859ddd92763b1
http://www.degruyter.com/view/j/amsil.2020.34.issue-1/amsil-2020-0016/amsil-2020-0016.xml?format=INT
http://www.degruyter.com/view/j/amsil.2020.34.issue-1/amsil-2020-0016/amsil-2020-0016.xml?format=INT