General solutions of two quadratic functional equations of Pexider type on orthogonal vectors
type: Item
instance of: scholarly article
title: General solutions of two quadratic functional equations of Pexider type on orthogonal vectors
zbMATH Open document ID: 1246.39023
DOI: 10.1155/2012/675810
author: Margherita Fochi
published in: Abstract and Applied Analysis
publication date: 2012-09-07T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 39B82
zbMATH DE Number: 6078779
zbMATH Keywords: Hyers-Ulam stability
zbMATH Keywords: orthogonal stability
zbMATH Keywords: Pexider-quadratic functional equations
MaRDI profile type: Publication
Wikidata QID: Q58695845
full work available at URL: https://doi.org/10.1155/2012/675810
OpenAlex ID: W2161588057
cites work: Proprieta’ locali e approssimazione di operatori
cites work: Remarks on the stability of functional equations
cites work: On the stability of the quadratic mapping in normed spaces
cites work: Q4791365
cites work: On orthogonally additive mappings
cites work: On the orthogonal stability of the pexiderized quadratic equation
cites work: A Common Generalization of Functional Equations Characterizing Normed and Quasi-Inner-Product Spaces
cites work: Hyers-Ulam stability of the quadratic equation of Pexider type
cites work: Remarks on the stability of Drygas' equation and the Pexider-quadratic equation
cites work: A fixed point approach to stability of a quadratic equation
description: scientific article; zbMATH DE number 6078779