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.

Bibliographic Details
Main Author: Zenon Moszner
Format: Article
Language:deu
Published: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego 2015-09-01
Series:Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Subjects:
Online Access:http://studmath.up.krakow.pl/index.php/studmath/article/view/208
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spelling 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
collection 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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