General Solutions of Two Quadratic Functional Equations of Pexider Type on Orthogonal Vectors
Based on the studies on the Hyers-Ulam stability and the orthogonal stability of some Pexider-quadratic functional equations, in this paper we find the general solutions of two quadratic functional equations of Pexider type. Both equations are studied in restricted domains: the first equation is stu...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/675810 |
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| author | Margherita Fochi |
| author_facet | Margherita Fochi |
| author_sort | Margherita Fochi |
| collection | DOAJ |
| description | Based on the studies on the Hyers-Ulam stability and the orthogonal stability of some Pexider-quadratic functional equations, in this paper we find the general solutions of two quadratic functional equations of Pexider type. Both equations are studied in restricted domains: the first equation is studied on the restricted domain of the orthogonal vectors in the sense of Rätz, and the second equation is considered on the orthogonal vectors in the inner product spaces with the usual orthogonality. |
| format | Article |
| id | doaj-art-6cb391f03682457c95c8f91f2d9c05e4 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6cb391f03682457c95c8f91f2d9c05e42025-08-20T02:06:44ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/675810675810General Solutions of Two Quadratic Functional Equations of Pexider Type on Orthogonal VectorsMargherita Fochi0Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, ItalyBased on the studies on the Hyers-Ulam stability and the orthogonal stability of some Pexider-quadratic functional equations, in this paper we find the general solutions of two quadratic functional equations of Pexider type. Both equations are studied in restricted domains: the first equation is studied on the restricted domain of the orthogonal vectors in the sense of Rätz, and the second equation is considered on the orthogonal vectors in the inner product spaces with the usual orthogonality.http://dx.doi.org/10.1155/2012/675810 |
| spellingShingle | Margherita Fochi General Solutions of Two Quadratic Functional Equations of Pexider Type on Orthogonal Vectors Abstract and Applied Analysis |
| title | General Solutions of Two Quadratic Functional Equations of Pexider Type on Orthogonal Vectors |
| title_full | General Solutions of Two Quadratic Functional Equations of Pexider Type on Orthogonal Vectors |
| title_fullStr | General Solutions of Two Quadratic Functional Equations of Pexider Type on Orthogonal Vectors |
| title_full_unstemmed | General Solutions of Two Quadratic Functional Equations of Pexider Type on Orthogonal Vectors |
| title_short | General Solutions of Two Quadratic Functional Equations of Pexider Type on Orthogonal Vectors |
| title_sort | general solutions of two quadratic functional equations of pexider type on orthogonal vectors |
| url | http://dx.doi.org/10.1155/2012/675810 |
| work_keys_str_mv | AT margheritafochi generalsolutionsoftwoquadraticfunctionalequationsofpexidertypeonorthogonalvectors |