Orthogonal Stability and Nonstability of a Generalized Quartic Functional Equation in Quasi-β-Normed Spaces

Orthogonal Stability and Nonstability of a Generalized Quartic Functional Equation in Quasi-β-Normed Spaces

In this work, we examine the generalized Hyers-Ulam orthogonal stability of the quartic functional equation in quasi-β-normed spaces. Moreover, we prove that this functional equation is not stable in a special condition by a counterexample.

Bibliographic Details
Main Authors: Nazek Alessa, K. Tamilvanan, K. Loganathan, T. S. Karthik, John Michael Rassias
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/5577833
id doaj-acde75c6193441aea00f6045dfbe6eac
record_format Article
spelling doaj-acde75c6193441aea00f6045dfbe6eac2021-03-01T01:13:38ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/5577833Orthogonal Stability and Nonstability of a Generalized Quartic Functional Equation in Quasi-β-Normed SpacesNazek Alessa0K. Tamilvanan1K. Loganathan2T. S. Karthik3John Michael Rassias4Department of Mathematical SciencesDepartment of MathematicsResearch and Development WingDepartment of Electronics and Communication EngineeringPedagogical Department-Mathematics & InformaticsIn this work, we examine the generalized Hyers-Ulam orthogonal stability of the quartic functional equation in quasi-β-normed spaces. Moreover, we prove that this functional equation is not stable in a special condition by a counterexample.http://dx.doi.org/10.1155/2021/5577833
collection DOAJ
language English
format Article
sources DOAJ
author Nazek Alessa
K. Tamilvanan
K. Loganathan
T. S. Karthik
John Michael Rassias
spellingShingle Nazek Alessa
K. Tamilvanan
K. Loganathan
T. S. Karthik
John Michael Rassias
Orthogonal Stability and Nonstability of a Generalized Quartic Functional Equation in Quasi-β-Normed Spaces
Journal of Function Spaces
author_facet Nazek Alessa
K. Tamilvanan
K. Loganathan
T. S. Karthik
John Michael Rassias
author_sort Nazek Alessa
title Orthogonal Stability and Nonstability of a Generalized Quartic Functional Equation in Quasi-β-Normed Spaces
title_short Orthogonal Stability and Nonstability of a Generalized Quartic Functional Equation in Quasi-β-Normed Spaces
title_full Orthogonal Stability and Nonstability of a Generalized Quartic Functional Equation in Quasi-β-Normed Spaces
title_fullStr Orthogonal Stability and Nonstability of a Generalized Quartic Functional Equation in Quasi-β-Normed Spaces
title_full_unstemmed Orthogonal Stability and Nonstability of a Generalized Quartic Functional Equation in Quasi-β-Normed Spaces
title_sort orthogonal stability and nonstability of a generalized quartic functional equation in quasi-β-normed spaces
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description In this work, we examine the generalized Hyers-Ulam orthogonal stability of the quartic functional equation in quasi-β-normed spaces. Moreover, we prove that this functional equation is not stable in a special condition by a counterexample.
url http://dx.doi.org/10.1155/2021/5577833
work_keys_str_mv AT nazekalessa orthogonalstabilityandnonstabilityofageneralizedquarticfunctionalequationinquasibnormedspaces
AT ktamilvanan orthogonalstabilityandnonstabilityofageneralizedquarticfunctionalequationinquasibnormedspaces
AT kloganathan orthogonalstabilityandnonstabilityofageneralizedquarticfunctionalequationinquasibnormedspaces
AT tskarthik orthogonalstabilityandnonstabilityofageneralizedquarticfunctionalequationinquasibnormedspaces
AT johnmichaelrassias orthogonalstabilityandnonstabilityofageneralizedquarticfunctionalequationinquasibnormedspaces
_version_ 1714842493949837312

Similar Items