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.
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5577833 |
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| author | Nazek Alessa K. Tamilvanan K. Loganathan T. S. Karthik John Michael Rassias |
| author_facet | Nazek Alessa K. Tamilvanan K. Loganathan T. S. Karthik John Michael Rassias |
| author_sort | Nazek Alessa |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-acde75c6193441aea00f6045dfbe6eac |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-acde75c6193441aea00f6045dfbe6eac2025-08-20T02:20:22ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55778335577833Orthogonal Stability and Nonstability of a Generalized Quartic Functional Equation in Quasi-β-Normed SpacesNazek Alessa0K. Tamilvanan1K. Loganathan2T. S. Karthik3John Michael Rassias4Department of Mathematical Sciences, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh, Saudi ArabiaDepartment of Mathematics, Government Arts College for Men, Krishnagiri, 635 001 Tamilnadu, IndiaResearch and Development Wing, Live4Research, Tiruppur, 638 106 Tamilnadu, IndiaDepartment of Electronics and Communication Engineering, Aditya College of Engineering and Technology, Surampalem, 533 437 Andhra Pradesh, IndiaPedagogical Department-Mathematics & Informatics, The National and Kapodistrian University of Athens, 4, Agamemnonos Str., Agia Paraskevi, Attikis 15342, GreeceIn 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2021/5577833 |
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