Solution and Stability of the Multiquadratic Functional Equation
We consider the multiquadratic functional equation. We establish its general solution and provide a characterization for this functional equation. Finally, we prove the Hyers-Ulam-Rassias stability of this functional equation.
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/415053 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560862057988096 |
|---|---|
| author | Xiaopeng Zhao Xiuzhong Yang Chin-Tzong Pang |
| author_facet | Xiaopeng Zhao Xiuzhong Yang Chin-Tzong Pang |
| author_sort | Xiaopeng Zhao |
| collection | DOAJ |
| description | We consider the multiquadratic functional equation. We establish its general solution and provide a characterization for this functional equation. Finally, we prove the Hyers-Ulam-Rassias stability of this functional equation. |
| format | Article |
| id | doaj-art-4664fc39b018496c820a9970b3f64cee |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4664fc39b018496c820a9970b3f64cee2025-02-03T01:26:29ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/415053415053Solution and Stability of the Multiquadratic Functional EquationXiaopeng Zhao0Xiuzhong Yang1Chin-Tzong Pang2Department of Mathematics, Zhejiang University, Hangzhou 310027, ChinaCollege of Mathematics and Information Science, Hebei Normal University and Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang 050024, ChinaDepartment of Information Management, Yuan Ze University, Chungli 32003, TaiwanWe consider the multiquadratic functional equation. We establish its general solution and provide a characterization for this functional equation. Finally, we prove the Hyers-Ulam-Rassias stability of this functional equation.http://dx.doi.org/10.1155/2013/415053 |
| spellingShingle | Xiaopeng Zhao Xiuzhong Yang Chin-Tzong Pang Solution and Stability of the Multiquadratic Functional Equation Abstract and Applied Analysis |
| title | Solution and Stability of the Multiquadratic Functional Equation |
| title_full | Solution and Stability of the Multiquadratic Functional Equation |
| title_fullStr | Solution and Stability of the Multiquadratic Functional Equation |
| title_full_unstemmed | Solution and Stability of the Multiquadratic Functional Equation |
| title_short | Solution and Stability of the Multiquadratic Functional Equation |
| title_sort | solution and stability of the multiquadratic functional equation |
| url | http://dx.doi.org/10.1155/2013/415053 |
| work_keys_str_mv | AT xiaopengzhao solutionandstabilityofthemultiquadraticfunctionalequation AT xiuzhongyang solutionandstabilityofthemultiquadraticfunctionalequation AT chintzongpang solutionandstabilityofthemultiquadraticfunctionalequation |