On the Stability of a Functional Equation Associated with the Fibonacci Numbers
We prove the Hyers-Ulam stability of the generalized Fibonacci functional equation F(x)-g(x)F(h(x))=0, where g and h are given functions.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/546046 |
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| _version_ | 1849435184503455744 |
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| author | Cristinel Mortici Michael Th. Rassias Soon-Mo Jung |
| author_facet | Cristinel Mortici Michael Th. Rassias Soon-Mo Jung |
| author_sort | Cristinel Mortici |
| collection | DOAJ |
| description | We prove the Hyers-Ulam stability of the generalized Fibonacci functional equation F(x)-g(x)F(h(x))=0, where g and h are given functions. |
| format | Article |
| id | doaj-art-ddbe404bdbcd4fa5ac57012aedb1fbe7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ddbe404bdbcd4fa5ac57012aedb1fbe72025-08-20T03:26:21ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/546046546046On the Stability of a Functional Equation Associated with the Fibonacci NumbersCristinel Mortici0Michael Th. Rassias1Soon-Mo Jung2Valahia University of Târgovişte, Bulevardul Unirii 18, 130082 Târgovişte, RomaniaDepartment of Mathematics, ETH Zürich, Raemistrasse 101, 8092 Zürich, SwitzerlandMathematics Section, College of Science and Technology, Hongik University, Sejong 339-701, Republic of KoreaWe prove the Hyers-Ulam stability of the generalized Fibonacci functional equation F(x)-g(x)F(h(x))=0, where g and h are given functions.http://dx.doi.org/10.1155/2014/546046 |
| spellingShingle | Cristinel Mortici Michael Th. Rassias Soon-Mo Jung On the Stability of a Functional Equation Associated with the Fibonacci Numbers Abstract and Applied Analysis |
| title | On the Stability of a Functional Equation Associated with the Fibonacci Numbers |
| title_full | On the Stability of a Functional Equation Associated with the Fibonacci Numbers |
| title_fullStr | On the Stability of a Functional Equation Associated with the Fibonacci Numbers |
| title_full_unstemmed | On the Stability of a Functional Equation Associated with the Fibonacci Numbers |
| title_short | On the Stability of a Functional Equation Associated with the Fibonacci Numbers |
| title_sort | on the stability of a functional equation associated with the fibonacci numbers |
| url | http://dx.doi.org/10.1155/2014/546046 |
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