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 |
| id |
doaj-693e86149a6746319f6a45397dc9922d |
|---|---|
| record_format |
Article |
| spelling |
doaj-693e86149a6746319f6a45397dc9922d2020-11-24T21:06:12ZengSpringerOpenJournal 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Juri Lee Yang-Hi Lee Kil-Woung Jun |
| spellingShingle |
Juri Lee Yang-Hi Lee Kil-Woung Jun On the Stability of a New Pexider-Type Functional Equation Journal of Inequalities and Applications |
| author_facet |
Juri Lee Yang-Hi Lee Kil-Woung Jun |
| author_sort |
Juri Lee |
| title |
On the Stability of a New Pexider-Type Functional Equation |
| title_short |
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_sort |
on the stability of a new pexider-type functional equation |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2008-04-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2008/816963 |
| work_keys_str_mv |
AT jurilee onthestabilityofanewpexidertypefunctionalequation AT yanghilee onthestabilityofanewpexidertypefunctionalequation AT kilwoungjun onthestabilityofanewpexidertypefunctionalequation |
| _version_ |
1716766377844408320 |