Hyers-Ulam stability of a finite variable mixed type quadratic-additive functional equation in quasi-Banach spaces
In this paper, we introduce a mixed type finite variable functional equation deriving from quadratic and additive functions and obtain the general solution of the functional equation and investigate the Hyers-Ulam stability for the functional equation in quasi-Banach spaces.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-07-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020383/fulltext.html |
| _version_ | 1818883274217357312 |
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| author | K. Tamilvanan Jung Rye Lee Choonkil Park |
| author_facet | K. Tamilvanan Jung Rye Lee Choonkil Park |
| author_sort | K. Tamilvanan |
| collection | DOAJ |
| description | In this paper, we introduce a mixed type finite variable functional equation deriving from quadratic and additive functions and obtain the general solution of the functional equation and investigate the Hyers-Ulam stability for the functional equation in quasi-Banach spaces. |
| first_indexed | 2024-12-19T15:31:03Z |
| format | Article |
| id | doaj.art-4e4740a1996a4ff597783a7deb1f11b1 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-19T15:31:03Z |
| publishDate | 2020-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-4e4740a1996a4ff597783a7deb1f11b12022-12-21T20:15:44ZengAIMS PressAIMS Mathematics2473-69882020-07-01565993600510.3934/math.2020383Hyers-Ulam stability of a finite variable mixed type quadratic-additive functional equation in quasi-Banach spacesK. Tamilvanan0Jung Rye Lee1Choonkil Park21 Department of Mathematics, Government Arts College for Men, Krishnagiri, Tamilnadu 635001, India2 Department of Mathematics, Daejin University, Kyunggi 11159, Korea3 Research Institute for Natural Sciences, Hanyang University, Seoul 04763, KoreaIn this paper, we introduce a mixed type finite variable functional equation deriving from quadratic and additive functions and obtain the general solution of the functional equation and investigate the Hyers-Ulam stability for the functional equation in quasi-Banach spaces.https://www.aimspress.com/article/10.3934/math.2020383/fulltext.htmladditive functional equationquadratic functional equationhyers-ulam stabilityquasi-banach spacep-banach space |
| spellingShingle | K. Tamilvanan Jung Rye Lee Choonkil Park Hyers-Ulam stability of a finite variable mixed type quadratic-additive functional equation in quasi-Banach spaces AIMS Mathematics additive functional equation quadratic functional equation hyers-ulam stability quasi-banach space p-banach space |
| title | Hyers-Ulam stability of a finite variable mixed type quadratic-additive functional equation in quasi-Banach spaces |
| title_full | Hyers-Ulam stability of a finite variable mixed type quadratic-additive functional equation in quasi-Banach spaces |
| title_fullStr | Hyers-Ulam stability of a finite variable mixed type quadratic-additive functional equation in quasi-Banach spaces |
| title_full_unstemmed | Hyers-Ulam stability of a finite variable mixed type quadratic-additive functional equation in quasi-Banach spaces |
| title_short | Hyers-Ulam stability of a finite variable mixed type quadratic-additive functional equation in quasi-Banach spaces |
| title_sort | hyers ulam stability of a finite variable mixed type quadratic additive functional equation in quasi banach spaces |
| topic | additive functional equation quadratic functional equation hyers-ulam stability quasi-banach space p-banach space |
| url | https://www.aimspress.com/article/10.3934/math.2020383/fulltext.html |
| work_keys_str_mv | AT ktamilvanan hyersulamstabilityofafinitevariablemixedtypequadraticadditivefunctionalequationinquasibanachspaces AT jungryelee hyersulamstabilityofafinitevariablemixedtypequadraticadditivefunctionalequationinquasibanachspaces AT choonkilpark hyersulamstabilityofafinitevariablemixedtypequadraticadditivefunctionalequationinquasibanachspaces |