Stability of a Quartic Functional Equation in Restricted Domains
Let X be a real normed space and Y a Banach space and f:X→Y. We prove the Ulam-Hyers stability theorem for the quartic functional equation f(2x+y)+f(2x-y)-4f(x+y)-4f(x-y)-24f(x)+6f(y)=0 in restricted domains. As a consequence we consider a measure zero stability problem of the above inequality when...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/1804206 |
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doaj-633e8f5b0958485aa32054cc563720022020-11-25T01:30:26ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/18042061804206Stability of a Quartic Functional Equation in Restricted DomainsJaeyoung Chung0Yu-Min Ju1Department of Mathematics, Kunsan National University, Kunsan 573-701, Republic of KoreaDepartment of Mathematics, Kunsan National University, Kunsan 573-701, Republic of KoreaLet X be a real normed space and Y a Banach space and f:X→Y. We prove the Ulam-Hyers stability theorem for the quartic functional equation f(2x+y)+f(2x-y)-4f(x+y)-4f(x-y)-24f(x)+6f(y)=0 in restricted domains. As a consequence we consider a measure zero stability problem of the above inequality when f:R→Y.http://dx.doi.org/10.1155/2016/1804206 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jaeyoung Chung Yu-Min Ju |
| spellingShingle |
Jaeyoung Chung Yu-Min Ju Stability of a Quartic Functional Equation in Restricted Domains Journal of Function Spaces |
| author_facet |
Jaeyoung Chung Yu-Min Ju |
| author_sort |
Jaeyoung Chung |
| title |
Stability of a Quartic Functional Equation in Restricted Domains |
| title_short |
Stability of a Quartic Functional Equation in Restricted Domains |
| title_full |
Stability of a Quartic Functional Equation in Restricted Domains |
| title_fullStr |
Stability of a Quartic Functional Equation in Restricted Domains |
| title_full_unstemmed |
Stability of a Quartic Functional Equation in Restricted Domains |
| title_sort |
stability of a quartic functional equation in restricted domains |
| publisher |
Hindawi Limited |
| series |
Journal of Function Spaces |
| issn |
2314-8896 2314-8888 |
| publishDate |
2016-01-01 |
| description |
Let X be a real normed space and Y a Banach space and f:X→Y. We prove the Ulam-Hyers stability theorem for the quartic functional equation f(2x+y)+f(2x-y)-4f(x+y)-4f(x-y)-24f(x)+6f(y)=0 in restricted domains. As a consequence we consider a measure zero stability problem of the above inequality when f:R→Y. |
| url |
http://dx.doi.org/10.1155/2016/1804206 |
| work_keys_str_mv |
AT jaeyoungchung stabilityofaquarticfunctionalequationinrestricteddomains AT yuminju stabilityofaquarticfunctionalequationinrestricteddomains |
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1725091399473299456 |