Title : Orthogonal stability of the Pexiderized quadratic equation ( Orthogonal stability of the Pexiderized quadratic equation )
Authors: Mohammad Sal Moslehian ,
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Abstract
The Hyers–Ulam stability of the conditional quadratic functional equation of Pexider type f ðx þ yÞþ f ðx 2 yÞ¼ 2gðxÞþ 2hðyÞ; x ’ y is established where ’ is a symmetric orthogonality in the sense of Ra ¨tz and f is odd.
Keywords
Hyers–Ulam stability; Orthogonality; Orthogonally additive mapping; Orthogonally quadratic mapping; Orthogonal Cauchy equation; Orthogonally quadratic equation
@article{paperid:384,
author = {Sal Moslehian, Mohammad},
title = {Orthogonal stability of the Pexiderized quadratic equation},
journal = {Journal of Difference Equations and Applications},
year = {2005},
volume = {11},
number = {11},
month = {February},
issn = {1023-6198},
pages = {999--104},
numpages = {-895},
keywords = {Hyers–Ulam stability; Orthogonality; Orthogonally additive mapping; Orthogonally
quadratic mapping; Orthogonal Cauchy equation; Orthogonally quadratic equation},
}
%0 Journal Article
%T Orthogonal stability of the Pexiderized quadratic equation
%A Sal Moslehian, Mohammad
%J Journal of Difference Equations and Applications
%@ 1023-6198
%D 2005
