On the Stability of a New Pexider-Type Functional Equation
We establish the generalized Hyers-Ulam stability of a Pexider-type functonal equation f1(x+y+z)+f2(x−y)+f3(x−z)−f4(x−y−z)−f5(x+y)−f6(x+z)=0, which is mixed of a quadratic and an additive functional equations. Also, we obtain its general solution from the stability...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2008-04-01
|
| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/816963 |
| _version_ | 1818082364649111552 |
|---|---|
| author | Juri Lee Yang-Hi Lee Kil-Woung Jun |
| author_facet | Juri Lee Yang-Hi Lee Kil-Woung Jun |
| author_sort | Juri Lee |
| collection | DOAJ |
| description | We establish the generalized Hyers-Ulam stability of a Pexider-type functonal equation f1(x+y+z)+f2(x−y)+f3(x−z)−f4(x−y−z)−f5(x+y)−f6(x+z)=0, which is mixed of a quadratic and an additive functional equations. Also, we obtain its general solution from the stability results. |
| first_indexed | 2024-12-10T19:20:56Z |
| format | Article |
| id | doaj.art-693e86149a6746319f6a45397dc9922d |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-10T19:20:56Z |
| publishDate | 2008-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-693e86149a6746319f6a45397dc9922d2022-12-22T01:36:29ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-04-01200810.1155/2008/816963On the Stability of a New Pexider-Type Functional EquationJuri LeeYang-Hi LeeKil-Woung JunWe establish the generalized Hyers-Ulam stability of a Pexider-type functonal equation f1(x+y+z)+f2(x−y)+f3(x−z)−f4(x−y−z)−f5(x+y)−f6(x+z)=0, which is mixed of a quadratic and an additive functional equations. Also, we obtain its general solution from the stability results.http://dx.doi.org/10.1155/2008/816963 |
| spellingShingle | Juri Lee Yang-Hi Lee Kil-Woung Jun On the Stability of a New Pexider-Type Functional Equation Journal of Inequalities and Applications |
| title | On the Stability of a New Pexider-Type Functional Equation |
| title_full | On the Stability of a New Pexider-Type Functional Equation |
| title_fullStr | On the Stability of a New Pexider-Type Functional Equation |
| title_full_unstemmed | On the Stability of a New Pexider-Type Functional Equation |
| title_short | On the Stability of a New Pexider-Type Functional Equation |
| title_sort | on the stability of a new pexider type functional equation |
| url | http://dx.doi.org/10.1155/2008/816963 |
| work_keys_str_mv | AT jurilee onthestabilityofanewpexidertypefunctionalequation AT yanghilee onthestabilityofanewpexidertypefunctionalequation AT kilwoungjun onthestabilityofanewpexidertypefunctionalequation |