General Solutions of Two Quadratic Functional Equations of Pexider Type on Orthogonal Vectors | Zendy

Margherita Fochi | Zendy

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General Solutions of Two Quadratic Functional Equations of Pexider Type on Orthogonal Vectors

Author(s) -

Margherita Fochi

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/675810

Subject(s) - mathematics , type (biology) , quadratic equation , pure mathematics , mathematical analysis , geometry , ecology , biology

Based on the studies on the Hyers-Ulam stability and the orthogonal stability of some Pexiderquadratic 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 Ratz, and the second equation is considered on the orthogonal vectors in the inner product spaces with the usual orthogonality.

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