On the stability of the squares of some functional equations
We consider the stability, the superstability and the inverse stability of the functional equations with squares of Cauchy’s, of Jensen’s and of isometry equations and the stability in Ulam-Hyers sense of the alternation of functional equations and of the equation of isometry.
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Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
2015-09-01
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Series: | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
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Online Access: | http://studmath.up.krakow.pl/index.php/studmath/article/view/208 |
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doaj-44f42df3c2604a37adc90c7e2c09fe022020-11-24T22:29:47ZdeuWydawnictwo Naukowe Uniwersytetu PedagogicznegoAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica 2081-545X2300-133X2015-09-01148110410.1515/aupcsm-2015-0007128On the stability of the squares of some functional equationsZenon Moszner0Institute of Mathematics, Pedagogical University,of Cracow, Kraków, PolandWe consider the stability, the superstability and the inverse stability of the functional equations with squares of Cauchy’s, of Jensen’s and of isometry equations and the stability in Ulam-Hyers sense of the alternation of functional equations and of the equation of isometry.http://studmath.up.krakow.pl/index.php/studmath/article/view/208Stabilitysuperstabilityinverse stabilityisometry |
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DOAJ |
language |
deu |
format |
Article |
sources |
DOAJ |
author |
Zenon Moszner |
spellingShingle |
Zenon Moszner On the stability of the squares of some functional equations Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica Stability superstability inverse stability isometry |
author_facet |
Zenon Moszner |
author_sort |
Zenon Moszner |
title |
On the stability of the squares of some functional equations |
title_short |
On the stability of the squares of some functional equations |
title_full |
On the stability of the squares of some functional equations |
title_fullStr |
On the stability of the squares of some functional equations |
title_full_unstemmed |
On the stability of the squares of some functional equations |
title_sort |
on the stability of the squares of some functional equations |
publisher |
Wydawnictwo Naukowe Uniwersytetu Pedagogicznego |
series |
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
issn |
2081-545X 2300-133X |
publishDate |
2015-09-01 |
description |
We consider the stability, the superstability and the inverse stability of the functional equations with squares of Cauchy’s, of Jensen’s and of isometry equations and the stability in Ulam-Hyers sense of the alternation of functional equations and of the equation of isometry. |
topic |
Stability superstability inverse stability isometry |
url |
http://studmath.up.krakow.pl/index.php/studmath/article/view/208 |
work_keys_str_mv |
AT zenonmoszner onthestabilityofthesquaresofsomefunctionalequations |
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1725743231796248576 |