Fuzzy Stability of an n-Dimensional Quadratic and Additive Functional Equation
We will investigate a fuzzy version of stability for the functional equation 2f(∑i=1nxi)+∑1≤i,j≤n,i≠jf(xi-xj)=(n+1)∑i=1nf(xi)+(n-1)∑i=1nf(-xi) in the sense of Mirmostafaee and Moslehian.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2012/150815 |
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| _version_ | 1832564335592865792 |
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| author | Yang Hi Lee Soon-Mo Jung |
| author_facet | Yang Hi Lee Soon-Mo Jung |
| author_sort | Yang Hi Lee |
| collection | DOAJ |
| description | We will investigate a fuzzy version of stability for the functional equation 2f(∑i=1nxi)+∑1≤i,j≤n,i≠jf(xi-xj)=(n+1)∑i=1nf(xi)+(n-1)∑i=1nf(-xi) in the sense of Mirmostafaee and Moslehian. |
| format | Article |
| id | doaj-art-6c1f5bddfc2843e0bac52fabdaf9b1b4 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-6c1f5bddfc2843e0bac52fabdaf9b1b42025-02-03T01:11:18ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2012-01-01201210.1155/2012/150815150815Fuzzy Stability of an n-Dimensional Quadratic and Additive Functional EquationYang Hi Lee0Soon-Mo Jung1Department of Mathematics Education, Gongju National University of Education, Gongju 314-711, Republic of KoreaMathematics Section, College of Science and Technology, Hongik University, Jochiwon 339-701, Republic of KoreaWe will investigate a fuzzy version of stability for the functional equation 2f(∑i=1nxi)+∑1≤i,j≤n,i≠jf(xi-xj)=(n+1)∑i=1nf(xi)+(n-1)∑i=1nf(-xi) in the sense of Mirmostafaee and Moslehian.http://dx.doi.org/10.1155/2012/150815 |
| spellingShingle | Yang Hi Lee Soon-Mo Jung Fuzzy Stability of an n-Dimensional Quadratic and Additive Functional Equation Advances in Fuzzy Systems |
| title | Fuzzy Stability of an n-Dimensional Quadratic and Additive Functional Equation |
| title_full | Fuzzy Stability of an n-Dimensional Quadratic and Additive Functional Equation |
| title_fullStr | Fuzzy Stability of an n-Dimensional Quadratic and Additive Functional Equation |
| title_full_unstemmed | Fuzzy Stability of an n-Dimensional Quadratic and Additive Functional Equation |
| title_short | Fuzzy Stability of an n-Dimensional Quadratic and Additive Functional Equation |
| title_sort | fuzzy stability of an n dimensional quadratic and additive functional equation |
| url | http://dx.doi.org/10.1155/2012/150815 |
| work_keys_str_mv | AT yanghilee fuzzystabilityofanndimensionalquadraticandadditivefunctionalequation AT soonmojung fuzzystabilityofanndimensionalquadraticandadditivefunctionalequation |