Refined stability of additive and quadratic functional equations in modular spaces
Abstract The purpose of this paper is to obtain refined stability results and alternative stability results for additive and quadratic functional equations using direct method in modular spaces.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-06-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1422-z |
| _version_ | 1818910911414403072 |
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| author | Hark-Mahn Kim Hwan-Yong Shin |
| author_facet | Hark-Mahn Kim Hwan-Yong Shin |
| author_sort | Hark-Mahn Kim |
| collection | DOAJ |
| description | Abstract The purpose of this paper is to obtain refined stability results and alternative stability results for additive and quadratic functional equations using direct method in modular spaces. |
| first_indexed | 2024-12-19T22:50:20Z |
| format | Article |
| id | doaj.art-6749951288164489890e6603a072fdd4 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-19T22:50:20Z |
| publishDate | 2017-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-6749951288164489890e6603a072fdd42022-12-21T20:02:50ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-06-012017111310.1186/s13660-017-1422-zRefined stability of additive and quadratic functional equations in modular spacesHark-Mahn Kim0Hwan-Yong Shin1Department of Mathematics, Chungnam National UniversityDepartment of Mathematics, Chungnam National UniversityAbstract The purpose of this paper is to obtain refined stability results and alternative stability results for additive and quadratic functional equations using direct method in modular spaces.http://link.springer.com/article/10.1186/s13660-017-1422-zmodular functionalconvex modularHyers-Ulam stabilityFatou propertyΔ 2 $\Delta_{2}$ -condition |
| spellingShingle | Hark-Mahn Kim Hwan-Yong Shin Refined stability of additive and quadratic functional equations in modular spaces Journal of Inequalities and Applications modular functional convex modular Hyers-Ulam stability Fatou property Δ 2 $\Delta_{2}$ -condition |
| title | Refined stability of additive and quadratic functional equations in modular spaces |
| title_full | Refined stability of additive and quadratic functional equations in modular spaces |
| title_fullStr | Refined stability of additive and quadratic functional equations in modular spaces |
| title_full_unstemmed | Refined stability of additive and quadratic functional equations in modular spaces |
| title_short | Refined stability of additive and quadratic functional equations in modular spaces |
| title_sort | refined stability of additive and quadratic functional equations in modular spaces |
| topic | modular functional convex modular Hyers-Ulam stability Fatou property Δ 2 $\Delta_{2}$ -condition |
| url | http://link.springer.com/article/10.1186/s13660-017-1422-z |
| work_keys_str_mv | AT harkmahnkim refinedstabilityofadditiveandquadraticfunctionalequationsinmodularspaces AT hwanyongshin refinedstabilityofadditiveandquadraticfunctionalequationsinmodularspaces |